Pith Number

pith:AGJODV7J

pith:2021:AGJODV7J6SGMWXNT25ZLAST4GH

not attested not anchored not stored refs pending

Positivity of the Moduli Part

Calum Spicer, Florin Ambro, Paolo Cascini, Vyacheslav Shokurov

arxiv:2111.00423 v2 · 2021-10-31 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGJODV7J6SGMWXNT25ZLAST4GH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

9 papers in Pith

Singularity criteria for K-stability of adjoint foliated structures

On the canonical bundle formula in positive characteristic

Optimal bend-and-break for foliations

K-stability of adjoint foliated structures

Shokurov's global index conjecture for threefold foliations

Receipt and verification

First computed	2026-07-05T04:01:32.669783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0192e1d7e9f48ccb5db3d772b04a7c31ef38635ba853a8021025136b0a28036f

Aliases

arxiv: 2111.00423 · arxiv_version: 2111.00423v2 · doi: 10.48550/arxiv.2111.00423 · pith_short_12: AGJODV7J6SGM · pith_short_16: AGJODV7J6SGMWXNT · pith_short_8: AGJODV7J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AGJODV7J6SGMWXNT25ZLAST4GH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0192e1d7e9f48ccb5db3d772b04a7c31ef38635ba853a8021025136b0a28036f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcc57448dd2434d5bed6153174be9f10e45e3d9ee4272735bd1870877ed830a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-10-31T07:55:36Z",
    "title_canon_sha256": "63fe6f6cbe2f10ab94b34432950a8c2e12f9bc557ef8713f649f1ea7533244a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00423",
    "kind": "arxiv",
    "version": 2
  }
}