Pith Number

pith:ZP3AVHYK

pith:2015:ZP3AVHYK4H2QE5DVFBE5TPRDO4

not attested not anchored not stored refs pending

Twisted-Product Categorical Bundles

Ambar N. Sengupta, Amitabha Lahiri, Saikat Chatterjee

arxiv:1506.04427 v2 · 2015-06-14 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP3AVHYK4H2QE5DVFBE5TPRDO4}

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	2026-05-18T01:24:54.618290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf60a9f0ae1f50274752849d9be2377085c17467f3fed6c83e5e62a35cb60ae

Aliases

arxiv: 1506.04427 · arxiv_version: 1506.04427v2 · doi: 10.48550/arxiv.1506.04427 · pith_short_12: ZP3AVHYK4H2Q · pith_short_16: ZP3AVHYK4H2QE5DV · pith_short_8: ZP3AVHYK

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/ZP3AVHYK4H2QE5DVFBE5TPRDO4 \
  | 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: cbf60a9f0ae1f50274752849d9be2377085c17467f3fed6c83e5e62a35cb60ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5295fc267a78af1b5934e2991fb936e5c1efff720eae7709550fcb52c288e72e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-14T18:44:29Z",
    "title_canon_sha256": "3086ac962735599b394d52911ae83541a0abc88322298c72a118d431dd657687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04427",
    "kind": "arxiv",
    "version": 2
  }
}