Pith Number

pith:ANC6GT23

pith:2011:ANC6GT23V23PWXXJM77YXVTV76

not attested not anchored not stored refs pending

Bubble tree compactification of moduli spaces of vector bundles on surfaces

A. S. Tikhomirov, D. Markushevich, G. Trautmann

arxiv:1110.6525 v1 · 2011-10-29 · 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{ANC6GT23V23PWXXJM77YXVTV76}

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	2026-05-18T04:09:55.434603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0345e34f5baeb6fb5ee967ff8bd675ffa10817aca67c6a5379f922bb76721538

Aliases

arxiv: 1110.6525 · arxiv_version: 1110.6525v1 · doi: 10.48550/arxiv.1110.6525 · pith_short_12: ANC6GT23V23P · pith_short_16: ANC6GT23V23PWXXJ · pith_short_8: ANC6GT23

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/ANC6GT23V23PWXXJM77YXVTV76 \
  | 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: 0345e34f5baeb6fb5ee967ff8bd675ffa10817aca67c6a5379f922bb76721538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324cfac467128a99cbd9fdba19086e3d459ddb3d6d96f236b66cf897eac3fcd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-29T11:43:00Z",
    "title_canon_sha256": "fe64080f49a04be6d3fb8693b30fb7d9aacaf4aab69366ef28c86daf273952ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6525",
    "kind": "arxiv",
    "version": 1
  }
}