Pith Number

pith:5R4C73PK

pith:2007:5R4C73PKCORPFOATAOOLKCBEXU

not attested not anchored not stored refs pending

Twisted identities in Coxeter groups

Axel Hultman

arxiv:math/0702192 v2 · 2007-02-07 · 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{5R4C73PKCORPFOATAOOLKCBEXU}

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	2026-05-18T04:08:52.921988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec782fedea13a2f2b813039cb50824bd39d45f2ef3a5b2f7704419cd0ebfd797

Aliases

arxiv: math/0702192 · arxiv_version: math/0702192v2 · doi: 10.48550/arxiv.math/0702192 · pith_short_12: 5R4C73PKCORP · pith_short_16: 5R4C73PKCORPFOAT · pith_short_8: 5R4C73PK

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/5R4C73PKCORPFOATAOOLKCBEXU \
  | 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: ec782fedea13a2f2b813039cb50824bd39d45f2ef3a5b2f7704419cd0ebfd797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08aaf475d993a816fa60a15ca79b469d72ebe513ea2ee82399b384cb17fcdd7a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-02-07T15:48:43Z",
    "title_canon_sha256": "a89b025d7ef653a41b778f5ae20f08bc24fe704c7c419914ee83a441ee97b1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702192",
    "kind": "arxiv",
    "version": 2
  }
}