Pith Number

pith:JBGEWHVS

pith:2014:JBGEWHVSZDEATFGT3FNH7XKQFP

not attested not anchored not stored refs pending

K-theoretic Poirier-Reutenauer bialgebra

Pavlo Pylyavskyy, Rebecca Patrias

arxiv:1404.4340 v1 · 2014-04-16 · math.CO · math.AG · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBGEWHVSZDEATFGT3FNH7XKQFP}

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	2026-05-18T02:54:05.605583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484c4b1eb2c8c80994d3d95a7fdd502bc773abdffa357aa9d0ec02bd5c8fdcd9

Aliases

arxiv: 1404.4340 · arxiv_version: 1404.4340v1 · doi: 10.48550/arxiv.1404.4340 · pith_short_12: JBGEWHVSZDEA · pith_short_16: JBGEWHVSZDEATFGT · pith_short_8: JBGEWHVS

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/JBGEWHVSZDEATFGT3FNH7XKQFP \
  | 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: 484c4b1eb2c8c80994d3d95a7fdd502bc773abdffa357aa9d0ec02bd5c8fdcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38471cc6ded03a82190a6e783ed027bf62212c39f0ac89b85acf1029e4c052cf",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-16T18:43:02Z",
    "title_canon_sha256": "76178d17e8f891afcdfcb2154cc7758c9cbcc22f30209375a8d5c05a885081d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4340",
    "kind": "arxiv",
    "version": 1
  }
}