Pith Number

pith:OZ6TCDX5

pith:2012:OZ6TCDX5QZ6NT4R56F7SMBCX6N

not attested not anchored not stored refs pending

Matched pairs of Courant algebroids

Mathieu Sti\'enon, Melchior Gr\"utzmann

arxiv:1204.1311 v1 · 2012-04-05 · 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{OZ6TCDX5QZ6NT4R56F7SMBCX6N}

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	2026-05-18T01:35:33.309302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767d310efd867cd9f23df17f260457f373df4993dea3760cca4dec5d5ac8404b

Aliases

arxiv: 1204.1311 · arxiv_version: 1204.1311v1 · doi: 10.48550/arxiv.1204.1311 · pith_short_12: OZ6TCDX5QZ6N · pith_short_16: OZ6TCDX5QZ6NT4R5 · pith_short_8: OZ6TCDX5

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/OZ6TCDX5QZ6NT4R56F7SMBCX6N \
  | 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: 767d310efd867cd9f23df17f260457f373df4993dea3760cca4dec5d5ac8404b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69bdcc2fac28009dbcd747b5fd596b467629e950eb8e6e64e468e99cec73507e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-05T19:00:25Z",
    "title_canon_sha256": "7968c6c7f8d287172f471229c373f5fe15aed1a7b156c078cfe2f343b2dfe780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1311",
    "kind": "arxiv",
    "version": 1
  }
}