Pith Number

pith:W7L77DGU

pith:2010:W7L77DGUSQDS25OCEZC7EAYCFE

not attested not anchored not stored refs pending

Further examples of stable bundles of rank 2 with 4 sections

H. Lange, P. E. Newstead

arxiv:1011.0849 v1 · 2010-11-03 · 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{W7L77DGUSQDS25OCEZC7EAYCFE}

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	2026-05-18T04:37:12.227016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d7ff8cd494072d75c22645f20302292dc06642a6281b585c50356c4cb24e3f

Aliases

arxiv: 1011.0849 · arxiv_version: 1011.0849v1 · doi: 10.48550/arxiv.1011.0849 · pith_short_12: W7L77DGUSQDS · pith_short_16: W7L77DGUSQDS25OC · pith_short_8: W7L77DGU

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/W7L77DGUSQDS25OCEZC7EAYCFE \
  | 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: b7d7ff8cd494072d75c22645f20302292dc06642a6281b585c50356c4cb24e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203f637537a125cf33aceabb120c01c7ea5385fe68aa5099361f4833e52c7261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-03T11:20:15Z",
    "title_canon_sha256": "d9e71cfd92f28df8e288659643eaa42ed786fba54424a878650254dac5a2d878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0849",
    "kind": "arxiv",
    "version": 1
  }
}