Pith Number

pith:SGO6D7EX

pith:2013:SGO6D7EX46NMYRO3YOHXTXZGCD

not attested not anchored not stored refs pending

Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta

Erwan Brugall\'e, Joseph Rabinoff, Matthew Baker, Omid Amini

arxiv:1303.4812 v3 · 2013-03-20 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGO6D7EX46NMYRO3YOHXTXZGCD}

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

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-05-18T02:54:14.289331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919de1fc97e79acc45dbc38f79df2610ecb1ddb656bf32f03e8f4664367acaa8

Aliases

arxiv: 1303.4812 · arxiv_version: 1303.4812v3 · doi: 10.48550/arxiv.1303.4812 · pith_short_12: SGO6D7EX46NM · pith_short_16: SGO6D7EX46NMYRO3 · pith_short_8: SGO6D7EX

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/SGO6D7EX46NMYRO3YOHXTXZGCD \
  | 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: 919de1fc97e79acc45dbc38f79df2610ecb1ddb656bf32f03e8f4664367acaa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6506ea2f6699e8127ea1b4f1b24a179dbc012baffbe6c78e993a77858dfb327",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-20T02:12:53Z",
    "title_canon_sha256": "bbdb2a1dcf308ec3724f37a9da58b4517fd8eff45065f6f545c4c213f40e02d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4812",
    "kind": "arxiv",
    "version": 3
  }
}