Pith Number

pith:23YZMTK2

pith:2011:23YZMTK23YEBERFTF2ESREL65H

not attested not anchored not stored refs pending

Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case

Josef Jany\v{s}ka, Martin Markl

arxiv:1101.4451 v1 · 2011-01-24 · 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{23YZMTK23YEBERFTF2ESREL65H}

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	2026-05-18T04:31:10.990182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f1964d5ade081244b32e8928917ee9edc0f301c4ae459742fdfa103b8df49c

Aliases

arxiv: 1101.4451 · arxiv_version: 1101.4451v1 · doi: 10.48550/arxiv.1101.4451 · pith_short_12: 23YZMTK23YEB · pith_short_16: 23YZMTK23YEBERFT · pith_short_8: 23YZMTK2

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/23YZMTK23YEBERFTF2ESREL65H \
  | 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: d6f1964d5ade081244b32e8928917ee9edc0f301c4ae459742fdfa103b8df49c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3104d8f10e3d335afa7c3702ec6c77365fe70aba4474608bd5f9db05a304d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-24T06:38:53Z",
    "title_canon_sha256": "37e9ad42981730e80b06a3cdab014025ba450ca6b0985f2f7e5e6c80c29ad515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4451",
    "kind": "arxiv",
    "version": 1
  }
}