Pith Number

pith:BE6MNAXT

pith:2004:BE6MNAXT4JH2VZUMI77V2DW7VS

not attested not anchored not stored refs pending

An explicit formula for the deformation quantization of Lie bialgebras

Boris Shoikhet

arxiv:math/0402046 v1 · 2004-02-03 · 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{BE6MNAXT4JH2VZUMI77V2DW7VS}

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	2026-07-04T14:38:12.528459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

093cc682f3e24faae68c47ff5d0edfac95a4c803e0638dbbb6613505c229fd85

Aliases

arxiv: math/0402046 · arxiv_version: math/0402046v1 · doi: 10.48550/arxiv.math/0402046 · pith_short_12: BE6MNAXT4JH2 · pith_short_16: BE6MNAXT4JH2VZUM · pith_short_8: BE6MNAXT

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/BE6MNAXT4JH2VZUMI77V2DW7VS \
  | 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: 093cc682f3e24faae68c47ff5d0edfac95a4c803e0638dbbb6613505c229fd85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f2f4c99ac0264dfe0832b6ba1af8910ea57f13882fd10adc2d31bd28a2bd9e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-02-03T22:19:09Z",
    "title_canon_sha256": "71e9ae349efdd8e8f17e7bc0be5b8d1ff71be0db4484bccdee5d2005ba44900b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402046",
    "kind": "arxiv",
    "version": 1
  }
}