Pith Number

pith:IYFUXXKC

pith:2015:IYFUXXKCYM5GUNFSWNQ7UWWPVQ

not attested not anchored not stored refs pending

Multiplicativity, from Lie groups to generalized geometry

Yvette Kosmann-Schwarzbach

arxiv:1511.02491 v3 · 2015-11-08 · math.SG · 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{IYFUXXKCYM5GUNFSWNQ7UWWPVQ}

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	2026-05-18T01:09:55.133400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

460b4bdd42c33a6a34b2b361fa5acfac1a597f37ed61eb63693eee481d0708ca

Aliases

arxiv: 1511.02491 · arxiv_version: 1511.02491v3 · doi: 10.48550/arxiv.1511.02491 · pith_short_12: IYFUXXKCYM5G · pith_short_16: IYFUXXKCYM5GUNFS · pith_short_8: IYFUXXKC

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/IYFUXXKCYM5GUNFSWNQ7UWWPVQ \
  | 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: 460b4bdd42c33a6a34b2b361fa5acfac1a597f37ed61eb63693eee481d0708ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b9b449b94fb7b12a851c2429ff9b92ab3d72f630e10bfc4928d632ce34e6b0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-11-08T14:57:18Z",
    "title_canon_sha256": "8a2f5e31996b5dc8d5bf9b13851136e3c83e8d03bc780eea8c55939c0a6c4300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02491",
    "kind": "arxiv",
    "version": 3
  }
}