Pith Number

pith:MT2V3ZTS

pith:2011:MT2V3ZTSU4L6MTNT42X5T4VHAL

not attested not anchored not stored refs pending

Metric Tannakian Duality

Calder Daenzer

arxiv:1104.0028 v1 · 2011-03-31 · math.QA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MT2V3ZTSU4L6MTNT42X5T4VHAL}

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	2026-05-18T04:25:12.568497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f55de672a717e64db3e6afd9f2a702c6d33b5e5e25222975d95a5c5f88b562

Aliases

arxiv: 1104.0028 · arxiv_version: 1104.0028v1 · doi: 10.48550/arxiv.1104.0028 · pith_short_12: MT2V3ZTSU4L6 · pith_short_16: MT2V3ZTSU4L6MTNT · pith_short_8: MT2V3ZTS

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/MT2V3ZTSU4L6MTNT42X5T4VHAL \
  | 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: 64f55de672a717e64db3e6afd9f2a702c6d33b5e5e25222975d95a5c5f88b562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a82dbbb73b5d26e986c1a05336ffbbd4ca08eca1bf619bb66b3f50074cf5cf9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-31T20:53:46Z",
    "title_canon_sha256": "19c5058159e7c3c6e4ed5e3f1048176bf8b82c658867084bab7168f14758f824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0028",
    "kind": "arxiv",
    "version": 1
  }
}