Pith Number

pith:KJCRK4Z4

pith:2012:KJCRK4Z4KDSZOPB7UI6VH2CCAO

not attested not anchored not stored refs pending

A note on trans-Sasakian manifolds

Mukut Mani Tripathi, Sharief Deshmukh

arxiv:1203.0860 v1 · 2012-03-05 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJCRK4Z4KDSZOPB7UI6VH2CCAO}

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	2026-05-18T04:00:50.323773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

524515733c50e5973c3fa23d53e842038a8a30aa976572b43687ce0cdfb39ca6

Aliases

arxiv: 1203.0860 · arxiv_version: 1203.0860v1 · doi: 10.48550/arxiv.1203.0860 · pith_short_12: KJCRK4Z4KDSZ · pith_short_16: KJCRK4Z4KDSZOPB7 · pith_short_8: KJCRK4Z4

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/KJCRK4Z4KDSZOPB7UI6VH2CCAO \
  | 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: 524515733c50e5973c3fa23d53e842038a8a30aa976572b43687ce0cdfb39ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68130528d1707a1694fcccce7de6d9fb2942cad7b76f8071bdd94732002f4063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-05T11:04:18Z",
    "title_canon_sha256": "5775f481387b83ebf386e794535e2ed7ceb8c83706427fa1a0f3d5e8aad1b954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0860",
    "kind": "arxiv",
    "version": 1
  }
}