Pith Number

pith:23IP6IUR

pith:2014:23IP6IURYTFPDAPGKIQLHHIFR3

not attested not anchored not stored refs pending

Coxeter-Knuth graphs and a signed Little map for type B reduced words

Austin Roberts, Benjamin Young, Sara Billey, Zachary Hamaker

arxiv:1405.4891 v2 · 2014-05-19 · 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{23IP6IURYTFPDAPGKIQLHHIFR3}

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	2026-05-18T02:39:40.495058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d0ff2291c4caf181e65220b39d058ec1205a674fa3447b770d4d1b5a402b53

Aliases

arxiv: 1405.4891 · arxiv_version: 1405.4891v2 · doi: 10.48550/arxiv.1405.4891 · pith_short_12: 23IP6IURYTFP · pith_short_16: 23IP6IURYTFPDAPG · pith_short_8: 23IP6IUR

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/23IP6IURYTFPDAPGKIQLHHIFR3 \
  | 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: d6d0ff2291c4caf181e65220b39d058ec1205a674fa3447b770d4d1b5a402b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0024f3f6e289d5a220a904370f846f88671753a7b388bffe754550b2767d430c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-19T20:52:00Z",
    "title_canon_sha256": "68da427bfb35864732b28b6e92a19e66903758dce2f05821a376fb4b6409a057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4891",
    "kind": "arxiv",
    "version": 2
  }
}