Pith Number

pith:7NCA5PNA

pith:2014:7NCA5PNALLC3A3UDEWTFOVB6SV

not attested not anchored not stored refs pending

Zero Excess and Minimal Length in Finite Coxeter Groups

Peter J. Rowley, Sarah B. Hart

arxiv:1405.2700 v1 · 2014-05-12 · 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{7NCA5PNALLC3A3UDEWTFOVB6SV}

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	2026-05-18T02:52:04.931105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb440ebda05ac5b06e8325a657543e955638192f9eb59adb7eb22cd40993b037

Aliases

arxiv: 1405.2700 · arxiv_version: 1405.2700v1 · doi: 10.48550/arxiv.1405.2700 · pith_short_12: 7NCA5PNALLC3 · pith_short_16: 7NCA5PNALLC3A3UD · pith_short_8: 7NCA5PNA

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/7NCA5PNALLC3A3UDEWTFOVB6SV \
  | 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: fb440ebda05ac5b06e8325a657543e955638192f9eb59adb7eb22cd40993b037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df99be37165666b259b1545e04027b3d208aa47adf36665ee326a9cc85117c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-12T10:38:19Z",
    "title_canon_sha256": "210ca27e684079981e8bc2db92584bdca6bcc1c7114f45465c9b1379beb6b77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2700",
    "kind": "arxiv",
    "version": 1
  }
}