Pith Number

pith:AZUND3I7

pith:2013:AZUND3I7WEPXTLP6WT6YYAOXRR

not attested not anchored not stored refs pending

Curvature identities on contact metric manifolds and their applications

JeongHyeong Park, Kouei Sekigawa, Won Min Shin

arxiv:1312.5400 v1 · 2013-12-19 · 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{AZUND3I7WEPXTLP6WT6YYAOXRR}

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	2026-05-18T03:04:14.862679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0668d1ed1fb11f79adfeb4fd8c01d78c6746f89cb10a9e4bfb5dff0fa0239b24

Aliases

arxiv: 1312.5400 · arxiv_version: 1312.5400v1 · doi: 10.48550/arxiv.1312.5400 · pith_short_12: AZUND3I7WEPX · pith_short_16: AZUND3I7WEPXTLP6 · pith_short_8: AZUND3I7

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/AZUND3I7WEPXTLP6WT6YYAOXRR \
  | 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: 0668d1ed1fb11f79adfeb4fd8c01d78c6746f89cb10a9e4bfb5dff0fa0239b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c885d341690bd6b52243b7be5044869baf1c0140991b4a4691b912e13d252b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-19T04:00:20Z",
    "title_canon_sha256": "5ea70549a74bb6af10d69926a301dbd8fe449a5de08bb361971ba9f3c3f96f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5400",
    "kind": "arxiv",
    "version": 1
  }
}