Pith Number

pith:2QAOITWT

pith:2012:2QAOITWTZ76ESNO76CCQ3Z6M4D

not attested not anchored not stored refs pending

A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space

Emanuele Macr\`i

arxiv:1207.4980 v1 · 2012-07-20 · 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{2QAOITWTZ76ESNO76CCQ3Z6M4D}

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	2026-05-18T01:22:26.462368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d400e44ed3cffc4935dff0850de7cce0fdee1619338e11fee88b514bb436b9e2

Aliases

arxiv: 1207.4980 · arxiv_version: 1207.4980v1 · doi: 10.48550/arxiv.1207.4980 · pith_short_12: 2QAOITWTZ76E · pith_short_16: 2QAOITWTZ76ESNO7 · pith_short_8: 2QAOITWT

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/2QAOITWTZ76ESNO76CCQ3Z6M4D \
  | 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: d400e44ed3cffc4935dff0850de7cce0fdee1619338e11fee88b514bb436b9e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa1060dc60b5dc87807d279689b9952bc4c05135f1c3698cb48f86f380e80e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-20T15:24:58Z",
    "title_canon_sha256": "19b23632b6d89808fc609c352cd619ff93174523ac8aa5944c8677d29a0ddaac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4980",
    "kind": "arxiv",
    "version": 1
  }
}