Pith Number

pith:IZBGRLVS

pith:2015:IZBGRLVS46VXSLXDBPB2G2HHBJ

not attested not anchored not stored refs pending

Peiffer product and Peiffer commutator for internal pre-crossed modules

Alan S. Cigoli, Giuseppe Metere, Sandra Mantovani

arxiv:1503.05008 v1 · 2015-03-17 · 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{IZBGRLVS46VXSLXDBPB2G2HHBJ}

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	2026-05-18T02:22:20.800880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464268aeb2e7ab792ee30bc3a368e70a74bab4b0a3cbf6424c05357ea46ca780

Aliases

arxiv: 1503.05008 · arxiv_version: 1503.05008v1 · doi: 10.48550/arxiv.1503.05008 · pith_short_12: IZBGRLVS46VX · pith_short_16: IZBGRLVS46VXSLXD · pith_short_8: IZBGRLVS

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/IZBGRLVS46VXSLXDBPB2G2HHBJ \
  | 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: 464268aeb2e7ab792ee30bc3a368e70a74bab4b0a3cbf6424c05357ea46ca780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916682d57adaeabc70723ec939a9bd12ffd10cc9116f66aff126f1e3a952f781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-03-17T12:00:10Z",
    "title_canon_sha256": "60568521d014bf248d004d64f252b81c614cd1019f24de1f5a29c299b7709eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05008",
    "kind": "arxiv",
    "version": 1
  }
}