Pith Number

pith:B2C26XI5

pith:2012:B2C26XI525JAJHTTVIDW4ZDCBA

not attested not anchored not stored refs pending

Almost all sets of d+2 points on the (d-1)-sphere are not subtransitive

Sean Eberhard

arxiv:1212.1803 v1 · 2012-12-08 · math.MG · 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{B2C26XI525JAJHTTVIDW4ZDCBA}

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	2026-05-18T03:02:35.556352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e85af5d1dd752049e73aa076e64620831026203dfdaacde8d828164d8ad6e7c

Aliases

arxiv: 1212.1803 · arxiv_version: 1212.1803v1 · doi: 10.48550/arxiv.1212.1803 · pith_short_12: B2C26XI525JA · pith_short_16: B2C26XI525JAJHTT · pith_short_8: B2C26XI5

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/B2C26XI525JAJHTTVIDW4ZDCBA \
  | 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: 0e85af5d1dd752049e73aa076e64620831026203dfdaacde8d828164d8ad6e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b803542940eca44a0c53378ffbdd9b280dc068a0486f4c93f97ae29403597844",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-12-08T15:28:57Z",
    "title_canon_sha256": "ac89ab076ef060f4d38f964bf975aea53d8d022b7afeb1c5ff465e732af004d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1803",
    "kind": "arxiv",
    "version": 1
  }
}