Pith Number

pith:652J6P2K

pith:2010:652J6P2K72YI34Y4VCYQVKC6C7

not attested not anchored not stored refs pending

When do the recession cones of a polyhedral complex form a fan?

Jos\'e Ignacio Burgos Gil, Mart\'in Sombra

arxiv:1008.2608 v2 · 2010-08-16 · math.CO · 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{652J6P2K72YI34Y4VCYQVKC6C7}

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	2026-05-18T04:33:59.771177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7749f3f4afeb08df31ca8b10aa85e17f09a650882a9ef555ca4f4919eeb9049

Aliases

arxiv: 1008.2608 · arxiv_version: 1008.2608v2 · doi: 10.48550/arxiv.1008.2608 · pith_short_12: 652J6P2K72YI · pith_short_16: 652J6P2K72YI34Y4 · pith_short_8: 652J6P2K

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/652J6P2K72YI34Y4VCYQVKC6C7 \
  | 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: f7749f3f4afeb08df31ca8b10aa85e17f09a650882a9ef555ca4f4919eeb9049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c049f5309bb5f7cad12265e8a3797ea47baeb8b3ab15d35c1fa37c9b44674da",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-16T09:27:55Z",
    "title_canon_sha256": "956fee9a622a3f8ff86e085beb43eca78b718dfd14cf3c0b93e2b84192f4f348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2608",
    "kind": "arxiv",
    "version": 2
  }
}