Pith Number

pith:N5EXOG3O

pith:2011:N5EXOG3OUYK5XO2OOIXW64WXHH

not attested not anchored not stored refs pending

Graded contact manifolds and contact Courant algebroids

Janusz Grabowski

arxiv:1112.0759 v3 · 2011-12-04 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5EXOG3OUYK5XO2OOIXW64WXHH}

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	2026-05-18T00:52:08.769003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f49771b6ea615dbbb4e722f6f72d739fd35911a16d5162906d1167878b9dd0b

Aliases

arxiv: 1112.0759 · arxiv_version: 1112.0759v3 · doi: 10.48550/arxiv.1112.0759 · pith_short_12: N5EXOG3OUYK5 · pith_short_16: N5EXOG3OUYK5XO2O · pith_short_8: N5EXOG3O

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/N5EXOG3OUYK5XO2OOIXW64WXHH \
  | 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: 6f49771b6ea615dbbb4e722f6f72d739fd35911a16d5162906d1167878b9dd0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3c2380b90eac29c82e31f96c247a5f789e314465191957017974fa82e4dfde",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-04T14:50:04Z",
    "title_canon_sha256": "d5237c478056d6c645448573ae343f0e8d771408d904a45f43c2d0650d644fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0759",
    "kind": "arxiv",
    "version": 3
  }
}