Pith Number

pith:PASF42QB

pith:2014:PASF42QB2J4SUTYSYHSK3RMLZD

not attested not anchored not stored refs pending

On distance two in Cayley graphs of Coxeter groups

Mark Pankov

arxiv:1404.1479 v2 · 2014-04-05 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PASF42QB2J4SUTYSYHSK3RMLZD}

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	2026-05-18T02:53:07.027479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78245e6a01d2792a4f12c1e4adc58bc8f61468d75ed3e28bc45741cf4bb668cf

Aliases

arxiv: 1404.1479 · arxiv_version: 1404.1479v2 · doi: 10.48550/arxiv.1404.1479 · pith_short_12: PASF42QB2J4S · pith_short_16: PASF42QB2J4SUTYS · pith_short_8: PASF42QB

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/PASF42QB2J4SUTYSYHSK3RMLZD \
  | 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: 78245e6a01d2792a4f12c1e4adc58bc8f61468d75ed3e28bc45741cf4bb668cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11af13080b7a3e8dea6fc6d9587f0385bf54919d08ebe4934f6150e1ef3e46d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-05T13:47:57Z",
    "title_canon_sha256": "c18a3645eea8eb5160a2ab3c41faada3e640a0203c41807fb0a5b05f5bbc4fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1479",
    "kind": "arxiv",
    "version": 2
  }
}