Pith Number

pith:JL7P6POJ

pith:2013:JL7P6POJHGMNZPG5LEEPW5YIBR

not attested not anchored not stored refs pending

Paracontact metric structures on the unit tangent sphere bundle

Giovanni Calvaruso, Ver\'onica Mart\'in-Molina

arxiv:1309.4213 v1 · 2013-09-17 · 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{JL7P6POJHGMNZPG5LEEPW5YIBR}

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	2026-05-18T01:12:31.038803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4afeff3dc93998dcbcdd5908fb77080c51ea28ca24c530ba7c7732130af061f9

Aliases

arxiv: 1309.4213 · arxiv_version: 1309.4213v1 · doi: 10.48550/arxiv.1309.4213 · pith_short_12: JL7P6POJHGMN · pith_short_16: JL7P6POJHGMNZPG5 · pith_short_8: JL7P6POJ

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/JL7P6POJHGMNZPG5LEEPW5YIBR \
  | 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: 4afeff3dc93998dcbcdd5908fb77080c51ea28ca24c530ba7c7732130af061f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f797d68cbf61be4d0d84f5b6bafef7312c167ab1af093ba81d9be1d3ab2b30a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-17T07:52:39Z",
    "title_canon_sha256": "f3b1bb85456ae83a75e2b270edca68533bbf491ad2bfb9517886424b7aaf0fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4213",
    "kind": "arxiv",
    "version": 1
  }
}