Pith Number

pith:VYDJ6B3W

pith:2017:VYDJ6B3WOFAQS3BTD4DOHIYWFT

not attested not anchored not stored refs pending

Enumerations relating braid and commutation classes

Bridget Eileen Tenner, Elizabeth Mili\'cevi\'c, Rebecca Patrias, Susanna Fishel

arxiv:1708.04372 v2 · 2017-08-15 · 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{VYDJ6B3WOFAQS3BTD4DOHIYWFT}

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	2026-05-18T00:09:00.509387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae069f07767141096c331f06e3a3162ccb2551ee8bd2750b3aede45178a6592d

Aliases

arxiv: 1708.04372 · arxiv_version: 1708.04372v2 · doi: 10.48550/arxiv.1708.04372 · pith_short_12: VYDJ6B3WOFAQ · pith_short_16: VYDJ6B3WOFAQS3BT · pith_short_8: VYDJ6B3W

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/VYDJ6B3WOFAQS3BTD4DOHIYWFT \
  | 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: ae069f07767141096c331f06e3a3162ccb2551ee8bd2750b3aede45178a6592d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4316e6d5692c40f3f53869a22ade7b923fa88f47418e8f644d5cad232f1cde68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-15T01:08:52Z",
    "title_canon_sha256": "bda2a3da6b97204ffcbbf8da4ef54534bdd90782bdbe66fe005bd1c8e9f761fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04372",
    "kind": "arxiv",
    "version": 2
  }
}