Pith Number

pith:3YACRXXA

pith:2016:3YACRXXANFRMDMZIHBZDDIOAUR

not attested not anchored not stored refs pending

Algebraic Cycles Representing Cohomology Operations

Marie-Louise Michelsohn

arxiv:1606.05617 v1 · 2016-06-17 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YACRXXANFRMDMZIHBZDDIOAUR}

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	2026-05-18T01:12:19.327883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0028dee06962c1b328387231a1c0a46ccfdfef0896b1f3ea4fa8c8cb4d79de

Aliases

arxiv: 1606.05617 · arxiv_version: 1606.05617v1 · doi: 10.48550/arxiv.1606.05617 · pith_short_12: 3YACRXXANFRM · pith_short_16: 3YACRXXANFRMDMZI · pith_short_8: 3YACRXXA

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/3YACRXXANFRMDMZIHBZDDIOAUR \
  | 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: de0028dee06962c1b328387231a1c0a46ccfdfef0896b1f3ea4fa8c8cb4d79de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb7f4be5aea5d7e37edf7e57a27a11d492ca2e87d470fa0009167c71ab05b44",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-06-17T18:40:52Z",
    "title_canon_sha256": "10ddd18e57844f4d5cf99b4587ddbe33a51946ff37ad061d1bdeff7480258a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05617",
    "kind": "arxiv",
    "version": 1
  }
}