Pith Number

pith:JLTW7MOD

pith:2011:JLTW7MODEN6OZYJFD7FJLQWVW2

not attested not anchored not stored refs pending

Remarks on the Cartan Formula and Its Applications

Kefeng Liu, Sheng Rao

arxiv:1104.1240 v1 · 2011-04-07 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLTW7MODEN6OZYJFD7FJLQWVW2}

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	2026-05-18T04:24:52.584884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae76fb1c3237cece1251fca95c2d5b6a004be0c0ebf7ad56a5f7157633999b5

Aliases

arxiv: 1104.1240 · arxiv_version: 1104.1240v1 · doi: 10.48550/arxiv.1104.1240 · pith_short_12: JLTW7MODEN6O · pith_short_16: JLTW7MODEN6OZYJF · pith_short_8: JLTW7MOD

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/JLTW7MODEN6OZYJFD7FJLQWVW2 \
  | 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: 4ae76fb1c3237cece1251fca95c2d5b6a004be0c0ebf7ad56a5f7157633999b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b9e70b96c40d762a8e4a89caa80cf1c27793544f59a4580218b079fd37664e",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-07T04:36:03Z",
    "title_canon_sha256": "dc0f85cc7e45de2bb1a355eaa995abe61aa670ea6d0249eaf3894abe20180179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1240",
    "kind": "arxiv",
    "version": 1
  }
}