Pith Number

pith:PCLWC4I6

pith:2010:PCLWC4I6T7NNVZOD57IJR4ARUT

not attested not anchored not stored refs pending

Generalising Bogomolov's Inequality to Unstable Sheaves

Boris Lerner

arxiv:1010.2295 v3 · 2010-10-12 · 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{PCLWC4I6T7NNVZOD57IJR4ARUT}

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	2026-05-18T04:10:10.614535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789761711e9fdadae5c3efd098f011a4f7c22d772e034dedbb42ffc3de24d61f

Aliases

arxiv: 1010.2295 · arxiv_version: 1010.2295v3 · doi: 10.48550/arxiv.1010.2295 · pith_short_12: PCLWC4I6T7NN · pith_short_16: PCLWC4I6T7NNVZOD · pith_short_8: PCLWC4I6

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/PCLWC4I6T7NNVZOD57IJR4ARUT \
  | 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: 789761711e9fdadae5c3efd098f011a4f7c22d772e034dedbb42ffc3de24d61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5e22318a89b8b148e83c2d386bc7ee16d79b4a7db77856fac52b0cb64b4e3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-12T04:39:04Z",
    "title_canon_sha256": "fd97b2afbe8c5ed3dbd7a6cc579427dc733c5c0d88d886538778bdec74f3c26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2295",
    "kind": "arxiv",
    "version": 3
  }
}