Pith Number

pith:CJH5NFTQ

pith:2019:CJH5NFTQ2JZO7CODZURHQE4GPS

not attested not anchored not stored refs pending

Integrals along bimonoid homomorphisms

Minkyu Kim

arxiv:1908.01658 v7 · 2019-08-05 · 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{CJH5NFTQ2JZO7CODZURHQE4GPS}

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	2026-07-05T01:48:06.219584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124fd69670d272ef89c3cd227813867c9c40871b4aea56fa611cdf801ce79903

Aliases

arxiv: 1908.01658 · arxiv_version: 1908.01658v7 · doi: 10.48550/arxiv.1908.01658 · pith_short_12: CJH5NFTQ2JZO · pith_short_16: CJH5NFTQ2JZO7COD · pith_short_8: CJH5NFTQ

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/CJH5NFTQ2JZO7CODZURHQE4GPS \
  | 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: 124fd69670d272ef89c3cd227813867c9c40871b4aea56fa611cdf801ce79903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb40b83dcd6143a82d9cb1b02ae88d93a019942a93023cf4a2333a16f59448e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-08-05T14:51:48Z",
    "title_canon_sha256": "dae7299d593562818826a97dc5fd2521e25352cf324568a62870f6787a2b6581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01658",
    "kind": "arxiv",
    "version": 7
  }
}