Pith Number

pith:XTE7U5EF

pith:2011:XTE7U5EFNPJIVVG52NNQ5QO7MM

not attested not anchored not stored refs pending

Descendents on local curves: Stationary theory

A. Pixton, R. Pandharipande

arxiv:1109.1258 v2 · 2011-09-06 · 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{XTE7U5EFNPJIVVG52NNQ5QO7MM}

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	2026-05-18T03:51:48.793203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc9fa74856bd28ad4ddd35b0ec1df63225705f5fe06d52eae38c4da6ddc04c1

Aliases

arxiv: 1109.1258 · arxiv_version: 1109.1258v2 · doi: 10.48550/arxiv.1109.1258 · pith_short_12: XTE7U5EFNPJI · pith_short_16: XTE7U5EFNPJIVVG5 · pith_short_8: XTE7U5EF

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/XTE7U5EFNPJIVVG52NNQ5QO7MM \
  | 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: bcc9fa74856bd28ad4ddd35b0ec1df63225705f5fe06d52eae38c4da6ddc04c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7936baa4352d7a6d954f548a829c6e6be9134b0d6002033bb033a1ffab6112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-06T18:27:51Z",
    "title_canon_sha256": "f17ae444061c694df946f2cabadc1e36ab76ecd16171a656a92ba15270c13e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1258",
    "kind": "arxiv",
    "version": 2
  }
}