Pith Number

pith:R4U3HV3E

pith:2015:R4U3HV3ELLAD4WVSOI2HSJ7NBK

not attested not anchored not stored refs pending

A uniform generalization of some combinatorial Hopf algebras

Jia Huang

arxiv:1506.02962 v2 · 2015-06-09 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4U3HV3ELLAD4WVSOI2HSJ7NBK}

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	2026-05-18T01:25:11.725792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f29b3d7645ac03e5ab272347927ed0a99f8e70714c0c482971ae4a99df95e99

Aliases

arxiv: 1506.02962 · arxiv_version: 1506.02962v2 · doi: 10.48550/arxiv.1506.02962 · pith_short_12: R4U3HV3ELLAD · pith_short_16: R4U3HV3ELLAD4WVS · pith_short_8: R4U3HV3E

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/R4U3HV3ELLAD4WVSOI2HSJ7NBK \
  | 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: 8f29b3d7645ac03e5ab272347927ed0a99f8e70714c0c482971ae4a99df95e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ffb4529b7ccb3eebbe2993152d97ffa987d963d31df573d14947c225204e8a8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-09T15:34:50Z",
    "title_canon_sha256": "549c6fa33c9c187eadd662ff7ee0eb315ad730be1f14d70120b9d3caee1039c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02962",
    "kind": "arxiv",
    "version": 2
  }
}