Pith Number

pith:U3FJLZOA

pith:2011:U3FJLZOAD6XB5QQAPDOUBUNMWT

not attested not anchored not stored refs pending

H-twisted Courant algebroids

Melchior Grutzmann

arxiv:1101.0993 v2 · 2011-01-05 · math.DG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3FJLZOAD6XB5QQAPDOUBUNMWT}

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	2026-05-18T03:53:31.951068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ca95e5c01fae1ec20078dd40d1acb4f51d6481844ef18a2404d625a362130d

Aliases

arxiv: 1101.0993 · arxiv_version: 1101.0993v2 · doi: 10.48550/arxiv.1101.0993 · pith_short_12: U3FJLZOAD6XB · pith_short_16: U3FJLZOAD6XB5QQA · pith_short_8: U3FJLZOA

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/U3FJLZOAD6XB5QQAPDOUBUNMWT \
  | 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: a6ca95e5c01fae1ec20078dd40d1acb4f51d6481844ef18a2404d625a362130d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "501be454355a59e0b3ef474f1d57af93e8113b27aaf5af844a5ef2b48d37bdd8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-05T14:41:51Z",
    "title_canon_sha256": "84c5ac79924dfeb887d6b46149613064910b304696a8a8aa947e50db2a0d34b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0993",
    "kind": "arxiv",
    "version": 2
  }
}