Pith Number

pith:4CTARYHT

pith:2021:4CTARYHTJHT3C7WUZYY2SDNZ3O

not attested not anchored not stored refs pending

On a notion of ring groupoid

Vladimir Drinfeld

arxiv:2104.07090 v1 · 2021-04-14 · math.CT · math.AG · math.AT · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CTARYHTJHT3C7WUZYY2SDNZ3O}

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.

Cited by

1 paper in Pith

Equivariant twisted $R$-algebras via Thom spectra

Receipt and verification

First computed	2026-07-05T02:32:17.686946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a608e0f349e7b17ed4ce31a90db9dbb5f01ff5664a0888bfe95d722c4311d0

Aliases

arxiv: 2104.07090 · arxiv_version: 2104.07090v1 · doi: 10.48550/arxiv.2104.07090 · pith_short_12: 4CTARYHTJHT3 · pith_short_16: 4CTARYHTJHT3C7WU · pith_short_8: 4CTARYHT

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/4CTARYHTJHT3C7WUZYY2SDNZ3O \
  | 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: e0a608e0f349e7b17ed4ce31a90db9dbb5f01ff5664a0888bfe95d722c4311d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2f7f494525431fe4003eead92ce47276f600e5f2d37acf73eac055e6c8778d",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-04-14T19:33:42Z",
    "title_canon_sha256": "b435a8940eeb5c04f260fd7f1bc4346793a8bc1941a256711cbd10207f5cd34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07090",
    "kind": "arxiv",
    "version": 1
  }
}