Pith Number

pith:SMKHJE2C

pith:2017:SMKHJE2C5VYRU6XPSNKAMKC4NQ

not attested not anchored not stored refs pending

Permuted composition tableaux, 0-Hecke algebra and labeled binary trees

Stephanie van Willigenburg, Vasu Tewari

arxiv:1712.05008 v2 · 2017-12-13 · 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{SMKHJE2C5VYRU6XPSNKAMKC4NQ}

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	2026-05-18T00:05:23.906093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9314749342ed711a7aef935406285c6c2cf4f14db8e246e7995e5ed557a5de2c

Aliases

arxiv: 1712.05008 · arxiv_version: 1712.05008v2 · doi: 10.48550/arxiv.1712.05008 · pith_short_12: SMKHJE2C5VYR · pith_short_16: SMKHJE2C5VYRU6XP · pith_short_8: SMKHJE2C

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/SMKHJE2C5VYRU6XPSNKAMKC4NQ \
  | 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: 9314749342ed711a7aef935406285c6c2cf4f14db8e246e7995e5ed557a5de2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f25ef068cd35dbb1481ec7f9da0c36c487f7d29a47248e6ab0bafae9045486",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-13T21:08:57Z",
    "title_canon_sha256": "ac76bc847650695535e0bc6b94f3d8f4137365ada22e02d1303d0acc6b4b808a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05008",
    "kind": "arxiv",
    "version": 2
  }
}