Pith Number

pith:Z46ENPTB

pith:2015:Z46ENPTBJTHZM7KRSD742CDSX7

not attested not anchored not stored refs pending

Tropical Skeletons

Annette Werner, Joseph Rabinoff, Walter Gubler

arxiv:1508.01179 v2 · 2015-08-05 · 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{Z46ENPTBJTHZM7KRSD742CDSX7}

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	2026-05-18T00:53:02.937029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3c46be614ccf967d5190ffcd0872bfe98f018c0f6ef8c0f9ef3e968ee91dd3

Aliases

arxiv: 1508.01179 · arxiv_version: 1508.01179v2 · doi: 10.48550/arxiv.1508.01179 · pith_short_12: Z46ENPTBJTHZ · pith_short_16: Z46ENPTBJTHZM7KR · pith_short_8: Z46ENPTB

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/Z46ENPTBJTHZM7KRSD742CDSX7 \
  | 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: cf3c46be614ccf967d5190ffcd0872bfe98f018c0f6ef8c0f9ef3e968ee91dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2492499ef86b7873dc7657aeddc39d9d8f17a06f98d634936a46b9bd3d11cf6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-05T19:06:10Z",
    "title_canon_sha256": "2242cb5ee865fa55309b8201ef1404b5a0d32f6fc5052eafe1c0c3d6df8e2cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01179",
    "kind": "arxiv",
    "version": 2
  }
}