Pith Number

pith:FBAOXLRP

pith:2012:FBAOXLRPY2YGCVRANWPNGEVIUH

not attested not anchored not stored refs pending

Multiplicative Forms and Spencer Operators

Ivan Struchiner, Maria Amelia Salazar, Marius Crainic

arxiv:1210.2277 v1 · 2012-10-08 · 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{FBAOXLRPY2YGCVRANWPNGEVIUH}

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	2026-05-18T03:43:50.585048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2840ebae2fc6b06156206d9ed312a8a1c55b200b679958f1900a0fdf667bae58

Aliases

arxiv: 1210.2277 · arxiv_version: 1210.2277v1 · doi: 10.48550/arxiv.1210.2277 · pith_short_12: FBAOXLRPY2YG · pith_short_16: FBAOXLRPY2YGCVRA · pith_short_8: FBAOXLRP

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/FBAOXLRPY2YGCVRANWPNGEVIUH \
  | 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: 2840ebae2fc6b06156206d9ed312a8a1c55b200b679958f1900a0fdf667bae58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc219cfaa13e579c33bccb17f0270f780c73078606ae5bebe03bbfd0ce257bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-08T13:42:12Z",
    "title_canon_sha256": "85831684eaad211d74950b7672c6f673b87a61935c9267cbdaf3cc58c045b806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2277",
    "kind": "arxiv",
    "version": 1
  }
}