Pith Number

pith:3A7AVVCY

pith:2013:3A7AVVCYPQEH4IPQTSJRTBRZDX

not attested not anchored not stored refs pending

The Johnson Cokernel and the Enomoto-Satoh invariant

Jim Conant

arxiv:1306.3698 v2 · 2013-06-16 · 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{3A7AVVCYPQEH4IPQTSJRTBRZDX}

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	2026-05-18T01:22:25.254930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24

Aliases

arxiv: 1306.3698 · arxiv_version: 1306.3698v2 · doi: 10.48550/arxiv.1306.3698 · pith_short_12: 3A7AVVCYPQEH · pith_short_16: 3A7AVVCYPQEH4IPQ · pith_short_8: 3A7AVVCY

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/3A7AVVCYPQEH4IPQTSJRTBRZDX \
  | 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: d83e0ad4587c087e21f09c931986391df728556d46783cde83dc45de88d7ae24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672ee50179e92db3ac94ff668ca02938afd27b42b7018919ccb3361afe1b57da",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-06-16T19:05:21Z",
    "title_canon_sha256": "623fa2251e17838da61fa25a913bd644708c9c0d7d716e09b05f42763e664ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3698",
    "kind": "arxiv",
    "version": 2
  }
}