Pith Number

pith:VD6LJDIH

pith:2008:VD6LJDIHSCS6FZBEAQC5YV5XUB

not attested not anchored not stored refs pending

Strict 2-Groups are Crossed Modules

Sven-S. Porst

arxiv:0812.1464 v1 · 2008-12-08 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD6LJDIHSCS6FZBEAQC5YV5XUB}

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.

Cited by

1 paper in Pith

On coherent Hopf 2-algebras

Receipt and verification

First computed	2026-07-04T15:33:28.779165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8fcb48d0790a5e2e4240405dc57b7a05745b42872ca48cfb16ab84e5c7a8059

Aliases

arxiv: 0812.1464 · arxiv_version: 0812.1464v1 · doi: 10.48550/arxiv.0812.1464 · pith_short_12: VD6LJDIHSCS6 · pith_short_16: VD6LJDIHSCS6FZBE · pith_short_8: VD6LJDIH

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/VD6LJDIHSCS6FZBEAQC5YV5XUB \
  | 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: a8fcb48d0790a5e2e4240405dc57b7a05745b42872ca48cfb16ab84e5c7a8059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535af903f7af462122707e0586f3a685f119a7724b433b7238cdbe5e3172822e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-12-08T11:15:20Z",
    "title_canon_sha256": "0b74db21b397982785a8c68b6e1d0eca613596b9a8a40582b35a6bd7e7e7515d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1464",
    "kind": "arxiv",
    "version": 1
  }
}