Pith Number

pith:ZFKHYHOR

pith:2012:ZFKHYHORJ6P6OM6DNKPNGM6AA5

not attested not anchored not stored refs pending

Towards a Tropical Proof of the Gieseker-Petri Theorem

Cristina Mata, Dat Nguyen, David Jensen, Shalin Parekh, Vyassa Baratham

arxiv:1205.3987 v1 · 2012-05-17 · 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{ZFKHYHORJ6P6OM6DNKPNGM6AA5}

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.

Receipt and verification

First computed	2026-05-18T03:55:24.049421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9547c1dd14f9fe733c36a9ed333c00748547667708bc2bc7b2e775e024aaae8

Aliases

arxiv: 1205.3987 · arxiv_version: 1205.3987v1 · doi: 10.48550/arxiv.1205.3987 · pith_short_12: ZFKHYHORJ6P6 · pith_short_16: ZFKHYHORJ6P6OM6D · pith_short_8: ZFKHYHOR

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/ZFKHYHORJ6P6OM6DNKPNGM6AA5 \
  | 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: c9547c1dd14f9fe733c36a9ed333c00748547667708bc2bc7b2e775e024aaae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1345594916c9020a9f602dbf61ef54a7d246c5bdc603f8b6c8f4a46bde6424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-17T17:26:20Z",
    "title_canon_sha256": "7e15e2bfa1f0fe20456d2a7d85a03d468bde76baa416a1d212d3f424b057e11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3987",
    "kind": "arxiv",
    "version": 1
  }
}