Pith Number

pith:DM47SGML

pith:2016:DM47SGMLTCJACSXFYVF77AJDHT

not attested not anchored not stored refs pending

Noncommutative augmentation categories

Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini, Roman Golovko

arxiv:1603.04253 v3 · 2016-03-14 · math.SG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM47SGMLTCJACSXFYVF77AJDHT}

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	2026-05-18T01:13:54.226428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b39f9198b9892014ae5c54bff81233cfc6e7169fd9cffedd5cab5b4461273f4

Aliases

arxiv: 1603.04253 · arxiv_version: 1603.04253v3 · doi: 10.48550/arxiv.1603.04253 · pith_short_12: DM47SGMLTCJA · pith_short_16: DM47SGMLTCJACSXF · pith_short_8: DM47SGML

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/DM47SGMLTCJACSXFYVF77AJDHT \
  | 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: 1b39f9198b9892014ae5c54bff81233cfc6e7169fd9cffedd5cab5b4461273f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431d97ae0d215f122c5953368a1041a825deacea35cfde391aaa7d3076aa61da",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-03-14T13:15:27Z",
    "title_canon_sha256": "419a6be0fc9af09515514335a4e7571da607d685ed18594c0c60658c1e225470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04253",
    "kind": "arxiv",
    "version": 3
  }
}