Pith Number

pith:E5BN67UH

pith:2020:E5BN67UH6UT7D4XZ4O7NDIVFZY

not attested not anchored not stored refs pending

Cochain level May-Steenrod operations

Anibal M. Medina-Mardones, Ralph M. Kaufmann

arxiv:2010.02571 v4 · 2020-10-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5BN67UH6UT7D4XZ4O7NDIVFZY}

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	2026-07-05T03:22:19.881728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2742df7e87f527f1f2f9e3bed1a2a5ce1da349ceb1fa65ce08dc8760ece48891

Aliases

arxiv: 2010.02571 · arxiv_version: 2010.02571v4 · doi: 10.48550/arxiv.2010.02571 · pith_short_12: E5BN67UH6UT7 · pith_short_16: E5BN67UH6UT7D4XZ · pith_short_8: E5BN67UH

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/E5BN67UH6UT7D4XZ4O7NDIVFZY \
  | 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: 2742df7e87f527f1f2f9e3bed1a2a5ce1da349ceb1fa65ce08dc8760ece48891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6fc1b2b427642729d36d37a2b2d1b11daa66a9fbb14def95b9cd889573727e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-10-06T09:30:44Z",
    "title_canon_sha256": "d2ff7d64dd78d9bcf4ff15f1d6412ebe5e2cf84e605fc6d088a10d1f9e364cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.02571",
    "kind": "arxiv",
    "version": 4
  }
}