Pith Number

pith:TAQPDSJC

pith:2011:TAQPDSJCNWYJDWOXGEYIDFTBBQ

not attested not anchored not stored refs pending

Uniqueness of the multiplicative cyclotomic trace

Andrew J. Blumberg, David Gepner, Goncalo Tabuada

arxiv:1103.3923 v3 · 2011-03-21 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAQPDSJCNWYJDWOXGEYIDFTBBQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:37:29.109183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9820f1c9226db091d9d731308196610c0c08692623b4c778e814b05ebd0e9d12

Aliases

arxiv: 1103.3923 · arxiv_version: 1103.3923v3 · doi: 10.48550/arxiv.1103.3923 · pith_short_12: TAQPDSJCNWYJ · pith_short_16: TAQPDSJCNWYJDWOX · pith_short_8: TAQPDSJC

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/TAQPDSJCNWYJDWOXGEYIDFTBBQ \
  | 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: 9820f1c9226db091d9d731308196610c0c08692623b4c778e814b05ebd0e9d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c21ae96128cda49a92939eafc8733bb825e7f8363e190bb10560c448a1cc278",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-03-21T06:22:01Z",
    "title_canon_sha256": "6f0644ca262cecf07ce5c21ff8a9f36708472716ef8805dccc87ca81ac0282ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3923",
    "kind": "arxiv",
    "version": 3
  }
}