Pith Number

pith:TLKZP4SR

pith:2014:TLKZP4SR2O7NYYVVCP3W4LZQMK

not attested not anchored not stored refs pending

Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials

Fabrizio Caselli, Francesco Brenti

arxiv:1406.7860 v1 · 2014-06-30 · 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{TLKZP4SR2O7NYYVVCP3W4LZQMK}

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	2026-05-18T02:48:43.989460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad597f251d3bedc62b513f76e2f30629e6c72cb588043f5099a128b0c995b68

Aliases

arxiv: 1406.7860 · arxiv_version: 1406.7860v1 · doi: 10.48550/arxiv.1406.7860 · pith_short_12: TLKZP4SR2O7N · pith_short_16: TLKZP4SR2O7NYYVV · pith_short_8: TLKZP4SR

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/TLKZP4SR2O7NYYVVCP3W4LZQMK \
  | 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: 9ad597f251d3bedc62b513f76e2f30629e6c72cb588043f5099a128b0c995b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df3458496c3778f248c7dab9e892e877d2461364d7230bbdb34a63eba0608d27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-30T19:17:48Z",
    "title_canon_sha256": "692c54392e64fc372e780dcfc5181e94f67e9535d0145c516b31a63839c67ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7860",
    "kind": "arxiv",
    "version": 1
  }
}