Pith Number

pith:RTAWFAGY

pith:2010:RTAWFAGYMWL6TCTS64OR2J6OQF

not attested not anchored not stored refs pending

Leibniz 2-algebras and twisted Courant algebroids

Yunhe Sheng, Zhangju Liu

arxiv:1012.5515 v3 · 2010-12-26 · math-ph · math.CT · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTAWFAGYMWL6TCTS64OR2J6OQF}

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	2026-05-18T03:26:41.441183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc16280d86597e98a72f71d1d27ce81648be12576f4b4b1f13023e6872072ff

Aliases

arxiv: 1012.5515 · arxiv_version: 1012.5515v3 · doi: 10.48550/arxiv.1012.5515 · pith_short_12: RTAWFAGYMWL6 · pith_short_16: RTAWFAGYMWL6TCTS · pith_short_8: RTAWFAGY

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/RTAWFAGYMWL6TCTS64OR2J6OQF \
  | 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: 8cc16280d86597e98a72f71d1d27ce81648be12576f4b4b1f13023e6872072ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "433b589d257b573ffcc21a0b6af4158d8d16aaf002a769ad91791243d499bbd4",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-26T13:52:12Z",
    "title_canon_sha256": "0982fa5cfb7c19e6694a079995b631e0297a66382d072398e7dc9d42cad9eb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5515",
    "kind": "arxiv",
    "version": 3
  }
}