Pith Number

pith:U7OIM3IV

pith:2012:U7OIM3IV5GQ6NEHX7CGSYJXAV7

not attested not anchored not stored refs pending

Integration of Lie Algebroid Comorphisms

Alan Weinstein, Alberto S. Cattaneo, Benoit Dherin

arxiv:1210.4443 v2 · 2012-10-16 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7OIM3IV5GQ6NEHX7CGSYJXAV7}

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	2026-07-05T00:37:24.635332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7dc866d15e9a1e690f7f88d2c26e0affc6fd5e850d0da17765c6fcde0a8d244

Aliases

arxiv: 1210.4443 · arxiv_version: 1210.4443v2 · doi: 10.48550/arxiv.1210.4443 · pith_short_12: U7OIM3IV5GQ6 · pith_short_16: U7OIM3IV5GQ6NEHX · pith_short_8: U7OIM3IV

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/U7OIM3IV5GQ6NEHX7CGSYJXAV7 \
  | 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: a7dc866d15e9a1e690f7f88d2c26e0affc6fd5e850d0da17765c6fcde0a8d244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81cb3e3c7de63201630ab4cbbf9e333750a6ca516c6c5acd78464c2a3b2cf48b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-16T15:01:59Z",
    "title_canon_sha256": "fe59df9344a84c8ce5f3ed99af042cbba17ad271f2c0db5adb5ecf9b20250d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4443",
    "kind": "arxiv",
    "version": 2
  }
}