Pith Number

pith:ALHNDAWJ

pith:2016:ALHNDAWJHVYPMPXMVY5PUU2JC6

not attested not anchored not stored refs pending

Addendum to "The Johnson cokernel and the Enomoto-Satoh invariant": The ES-trace detects all top-level partitions

James Conant

arxiv:1610.05220 v1 · 2016-10-13 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALHNDAWJHVYPMPXMVY5PUU2JC6}

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	2026-05-18T01:02:05.824150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ced182c93d70f63eecae3afa534917818bfe2ffcce38050cb4a7f81d0e0365

Aliases

arxiv: 1610.05220 · arxiv_version: 1610.05220v1 · doi: 10.48550/arxiv.1610.05220 · pith_short_12: ALHNDAWJHVYP · pith_short_16: ALHNDAWJHVYPMPXM · pith_short_8: ALHNDAWJ

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/ALHNDAWJHVYPMPXMVY5PUU2JC6 \
  | 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: 02ced182c93d70f63eecae3afa534917818bfe2ffcce38050cb4a7f81d0e0365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09481dda60b940a1752760efd4db775bf277c3f17d1d5eaaf66395a577856e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-10-13T04:50:35Z",
    "title_canon_sha256": "522b6fbfc4ca26639fa652366a09fc92b123c187d7a4f6920b5a652cc40094e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05220",
    "kind": "arxiv",
    "version": 1
  }
}