Pith Number

pith:ISGT3LW5

pith:2015:ISGT3LW5UIRUPP2J7MF46COEOQ

not attested not anchored not stored refs pending

Hopf Algebras and Invariants of the Johnson Cokernel

Jim Conant, Martin Kassabov

arxiv:1509.03236 v1 · 2015-09-10 · math.AT · math.GT · 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{ISGT3LW5UIRUPP2J7MF46COEOQ}

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	2026-05-18T01:04:14.455180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448d3daedda22347bf49fb0bcf09c47401018ffc134526b55ecb2817bf0dc063

Aliases

arxiv: 1509.03236 · arxiv_version: 1509.03236v1 · doi: 10.48550/arxiv.1509.03236 · pith_short_12: ISGT3LW5UIRU · pith_short_16: ISGT3LW5UIRUPP2J · pith_short_8: ISGT3LW5

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/ISGT3LW5UIRUPP2J7MF46COEOQ \
  | 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: 448d3daedda22347bf49fb0bcf09c47401018ffc134526b55ecb2817bf0dc063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473aaacbd4d15552b4d6fa3eaa2cc376a0a3ddc0a79f114c68f6d154365af880",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-10T17:19:34Z",
    "title_canon_sha256": "eb64f7783976c2f2cb0a0a71292c379bb6ddf1dc71a57a6ab1e0c614d8d270e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03236",
    "kind": "arxiv",
    "version": 1
  }
}