Pith Number

pith:MBYII2CU

pith:2001:MBYII2CUH644XWGLWUGE6QNPNP

not attested not anchored not stored refs pending

Graded manifolds and Drinfeld doubles for Lie bialgebroids

Theodore Voronov

arxiv:math/0105237 v3 · 2001-05-29 · math.DG · hep-th · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBYII2CUH644XWGLWUGE6QNPNP}

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	2026-05-17T23:56:49.287900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60708468543fb9cbd8cbb50c4f41af6bc368a214e44cb81ce6efcce551ce7736

Aliases

arxiv: math/0105237 · arxiv_version: math/0105237v3 · doi: 10.48550/arxiv.math/0105237 · pith_short_12: MBYII2CUH644 · pith_short_16: MBYII2CUH644XWGL · pith_short_8: MBYII2CU

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/MBYII2CUH644XWGLWUGE6QNPNP \
  | 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: 60708468543fb9cbd8cbb50c4f41af6bc368a214e44cb81ce6efcce551ce7736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac1afdccfac66b624689bff7d8489a75084578bb1cdf3fdf5837cb324692cf9",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-05-29T03:42:38Z",
    "title_canon_sha256": "241a77e088d719aca24f11904e40ed5e0cc97c4ba6d9f8bd2bbebaa5beb72aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105237",
    "kind": "arxiv",
    "version": 3
  }
}