Pith Number

pith:7O7RLV2W

pith:2011:7O7RLV2WUCC37UJNQH2KUNJGJQ

not attested not anchored not stored refs pending

On Bott-Chern forms and their applications

Leon A. Takhtajan, Vamsi P. Pingali

arxiv:1102.1105 v4 · 2011-02-05 · math.DG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7O7RLV2WUCC37UJNQH2KUNJGJQ}

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	2026-05-18T02:29:44.443408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbbf15d756a085bfd12d81f4aa35264c098c56590117467edd0dd2c6a4b83cdd

Aliases

arxiv: 1102.1105 · arxiv_version: 1102.1105v4 · doi: 10.48550/arxiv.1102.1105 · pith_short_12: 7O7RLV2WUCC3 · pith_short_16: 7O7RLV2WUCC37UJN · pith_short_8: 7O7RLV2W

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/7O7RLV2WUCC37UJNQH2KUNJGJQ \
  | 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: fbbf15d756a085bfd12d81f4aa35264c098c56590117467edd0dd2c6a4b83cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d862d55c689c21630cb088ca2abd76993bb6b5f34e08edcf0cfb2a53a82816e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-05T22:06:31Z",
    "title_canon_sha256": "73336d5031bc4c06ba5648da541f042f912876abf34cc73c7f0de2e8095a44a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1105",
    "kind": "arxiv",
    "version": 4
  }
}