Pith Number

pith:TDFRO5DU

pith:2008:TDFRO5DU4N4GEIZFZTSFYQHCXK

not attested not anchored not stored refs pending

Neighborliness of Marginal Polytopes

Thomas Kahle

arxiv:0809.0786 v1 · 2008-09-04 · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDFRO5DU4N4GEIZFZTSFYQHCXK}

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	2026-05-18T01:17:35.557771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98cb177474e378622325cce45c40e2bab25aff681d299d366b6d865d08ac9d09

Aliases

arxiv: 0809.0786 · arxiv_version: 0809.0786v1 · doi: 10.48550/arxiv.0809.0786 · pith_short_12: TDFRO5DU4N4G · pith_short_16: TDFRO5DU4N4GEIZF · pith_short_8: TDFRO5DU

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/TDFRO5DU4N4GEIZFZTSFYQHCXK \
  | 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: 98cb177474e378622325cce45c40e2bab25aff681d299d366b6d865d08ac9d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4240d3c48c50d43756dfb47838d5229afc354b77bc594be15f88888cde45985",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-04T11:12:52Z",
    "title_canon_sha256": "0cdec4f7a0375b087d842d0a0eea0c84106716467990de3dc769135bd7696a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0786",
    "kind": "arxiv",
    "version": 1
  }
}