Pith Number

pith:4HIWW5SX

pith:2005:4HIWW5SXRALNWDQ552BD5HB3Z4

not attested not anchored not stored refs pending

Explicit representations by halfspaces of the edge cone of a graph

Carlos E. Valencia, Rafael H. Villarreal

arxiv:math/0506281 v1 · 2005-06-14 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HIWW5SXRALNWDQ552BD5HB3Z4}

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	2026-05-18T04:25:03.642768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d16b76578816db0e1dee823e9c3bcf12db0d1926cf7f4c0243f9928ed49033

Aliases

arxiv: math/0506281 · arxiv_version: math/0506281v1 · doi: 10.48550/arxiv.math/0506281 · pith_short_12: 4HIWW5SXRALN · pith_short_16: 4HIWW5SXRALNWDQ5 · pith_short_8: 4HIWW5SX

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/4HIWW5SXRALNWDQ552BD5HB3Z4 \
  | 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: e1d16b76578816db0e1dee823e9c3bcf12db0d1926cf7f4c0243f9928ed49033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0962629ff04a8483e38d966437e65ae4bbbe20a86c290cb08a9c6bfb7f96cd42",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-06-14T16:19:49Z",
    "title_canon_sha256": "c628b9983ef87586d46b170383037e02d6d1230bc1c6f21f32edd25b5ca86bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506281",
    "kind": "arxiv",
    "version": 1
  }
}