Pith Number

pith:PV76KDWD

pith:2024:PV76KDWDKG6G4MYOFAAATPGPNH

not attested not anchored not stored refs pending

Hopf braces and semi-abelian categories

Andrea Sciandra, Marino Gran

arxiv:2411.19238 v2 · 2024-11-28 · math.RA · math.CT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV76KDWDKG6G4MYOFAAATPGPNH}

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	2026-07-05T11:02:14.801450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7fe50ec351bc6e330e280009bccf69efc3d327efc99210ac4b5fcd47abd847

Aliases

arxiv: 2411.19238 · arxiv_version: 2411.19238v2 · doi: 10.48550/arxiv.2411.19238 · pith_short_12: PV76KDWDKG6G · pith_short_16: PV76KDWDKG6G4MYO · pith_short_8: PV76KDWD

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/PV76KDWDKG6G4MYOFAAATPGPNH \
  | 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: 7d7fe50ec351bc6e330e280009bccf69efc3d327efc99210ac4b5fcd47abd847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25f961254c28b14f2195bf9024226ddabf704ededa9343a0a0d6b8384433680",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-11-28T16:18:53Z",
    "title_canon_sha256": "5fd8bd9ae340a32f7bcb4866090a895eb2c8eb9b8bf846aee004788d69510f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19238",
    "kind": "arxiv",
    "version": 2
  }
}