Pith Number

pith:HCHSVA4D

pith:2026:HCHSVA4DCBESWHRHFSWAFZL2VW

not attested not anchored not stored refs pending

Operadic 2-rigs

M. Anel, M. Fiore, N. Gambino

arxiv:2607.12705 v1 · 2026-07-14 · math.CT · math.AT · 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{HCHSVA4DCBESWHRHFSWAFZL2VW}

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	2026-07-15T01:22:13.380060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388f2a838310492b1e272cac02e57aad8bd59e81d1d04d1c6fbd3fedd8ab1ae4

Aliases

arxiv: 2607.12705 · arxiv_version: 2607.12705v1 · doi: 10.48550/arxiv.2607.12705 · pith_short_12: HCHSVA4DCBES · pith_short_16: HCHSVA4DCBESWHRH · pith_short_8: HCHSVA4D

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/HCHSVA4DCBESWHRHFSWAFZL2VW \
  | 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: 388f2a838310492b1e272cac02e57aad8bd59e81d1d04d1c6fbd3fedd8ab1ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5b16d2aca77051bb99329f64d2cd903ed630bee62eef7fb4ab1a5954be54b6",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-14T12:28:24Z",
    "title_canon_sha256": "010f88df35cc2e5d8d3211eb9e53f11cde2f2b1362a24de77fb786d7d8e0cb85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12705",
    "kind": "arxiv",
    "version": 1
  }
}