Pith Number

pith:B4FKABJF

pith:2015:B4FKABJFTSSZSJAMM3DCW2JP5Y

not attested not anchored not stored refs pending

Supergeometry in mathematics and physics

Mikhail Kapranov

arxiv:1512.07042 v2 · 2015-12-22 · 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{B4FKABJFTSSZSJAMM3DCW2JP5Y}

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	2026-05-18T00:19:42.911622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f0aa005259ca599240c66c62b692fee289c44e06ff945255fe907cb467fc9e3

Aliases

arxiv: 1512.07042 · arxiv_version: 1512.07042v2 · doi: 10.48550/arxiv.1512.07042 · pith_short_12: B4FKABJFTSSZ · pith_short_16: B4FKABJFTSSZSJAM · pith_short_8: B4FKABJF

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/B4FKABJFTSSZSJAMM3DCW2JP5Y \
  | 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: 0f0aa005259ca599240c66c62b692fee289c44e06ff945255fe907cb467fc9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08f6ee32ae7811cfac0900423873d33717432734530829f79aeff9d835561bdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-22T11:52:29Z",
    "title_canon_sha256": "b250cb3b478d62dba63fd870dc6a40f5ce34361c52802acd8aa8b354291d5ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07042",
    "kind": "arxiv",
    "version": 2
  }
}