Pith Number

pith:5TB2X2B2

pith:2004:5TB2X2B2GHSHORFCXNHKNQAPQT

not attested not anchored not stored refs pending

Desingularizations of the moduli space of rank 2 bundles over a curve

Jun Li, Young-Hoon Kiem

arxiv:math/0402447 v1 · 2004-02-27 · 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{5TB2X2B2GHSHORFCXNHKNQAPQT}

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	2026-07-04T14:38:16.363160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc3abe83a31e47744a2bb4ea6c00f84cce9df43fcda4c2edff1074a4eb2719b

Aliases

arxiv: math/0402447 · arxiv_version: math/0402447v1 · doi: 10.48550/arxiv.math/0402447 · pith_short_12: 5TB2X2B2GHSH · pith_short_16: 5TB2X2B2GHSHORFC · pith_short_8: 5TB2X2B2

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/5TB2X2B2GHSHORFCXNHKNQAPQT \
  | 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: ecc3abe83a31e47744a2bb4ea6c00f84cce9df43fcda4c2edff1074a4eb2719b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb84756bd80b82b51d298178553ab8097d5d99fca07051e4b1fe15a5f3754ea0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-02-27T05:57:01Z",
    "title_canon_sha256": "d1f6fae4241c8a40d455fca18174561694e3fcca9f7a734e58c2ddc9fe49d07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402447",
    "kind": "arxiv",
    "version": 1
  }
}