Pith Number

pith:RBXRYJXX

pith:2021:RBXRYJXXBLYJANCA5UBZAYDITG

not attested not anchored not stored refs pending

Manin-Mumford in arithmetic pencils

Emmanuel Ullmo, Gregorio Baldi, Rodolphe Richard

arxiv:2105.12027 v2 · 2021-05-25 · math.NT · 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{RBXRYJXXBLYJANCA5UBZAYDITG}

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

1 paper in Pith

Hybrid Conjecture in a Mixed Shimura variety

Receipt and verification

First computed	2026-07-05T07:49:27.787181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886f1c26f70af0903440ed0390606899b52aaba9a999639e8efdf8d3d359314a

Aliases

arxiv: 2105.12027 · arxiv_version: 2105.12027v2 · doi: 10.48550/arxiv.2105.12027 · pith_short_12: RBXRYJXXBLYJ · pith_short_16: RBXRYJXXBLYJANCA · pith_short_8: RBXRYJXX

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/RBXRYJXXBLYJANCA5UBZAYDITG \
  | 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: 886f1c26f70af0903440ed0390606899b52aaba9a999639e8efdf8d3d359314a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c7e10ac8b178442df40f7a8c85427ec6a09ec0f9238c456b076f8487bfd9e4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-25T15:56:27Z",
    "title_canon_sha256": "56c47c38be5903f21ae46113595b5f7fd6403a280f1c8bf19c50915442061274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12027",
    "kind": "arxiv",
    "version": 2
  }
}