Pith Number

pith:YYLNB53H

pith:2011:YYLNB53H7TQCONREWEPLFFLPLB

not attested not anchored not stored refs pending

A note on Chow stability of the Projectivisation of Gieseker Stable Bundles

Julien Keller, Julius Ross

arxiv:1110.4489 v3 · 2011-10-20 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYLNB53H7TQCONREWEPLFFLPLB}

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	2026-05-18T03:49:35.037790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c616d0f767fce0273624b11eb2956f586d82041e2c8950120959d8b79b95210b

Aliases

arxiv: 1110.4489 · arxiv_version: 1110.4489v3 · doi: 10.48550/arxiv.1110.4489 · pith_short_12: YYLNB53H7TQC · pith_short_16: YYLNB53H7TQCONRE · pith_short_8: YYLNB53H

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/YYLNB53H7TQCONREWEPLFFLPLB \
  | 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: c616d0f767fce0273624b11eb2956f586d82041e2c8950120959d8b79b95210b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a0a12d2d3e84eeb196b5b984df834b4d0b94bbb27e7d14f6e85aa85dcfc0e78",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-20T10:36:41Z",
    "title_canon_sha256": "a20accb078ba05ae27b1fcf4f7b91b662188568a1e7127fbe725ad348114ea97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4489",
    "kind": "arxiv",
    "version": 3
  }
}