Pith Number

pith:7VS5HU5D

pith:2015:7VS5HU5D6S32TZU5B3N2Z4URAY

not attested not anchored not stored refs pending

On quantizable odd Lie bialgebras

Anton Khoroshkin, Sergei Merkulov, Thomas Willwacher

arxiv:1512.04710 v2 · 2015-12-15 · 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{7VS5HU5D6S32TZU5B3N2Z4URAY}

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	2026-05-18T01:08:12.485933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd65d3d3a3f4b7a9e69d0edbacf2910631b6b472068ff8a86e529be9a9f39659

Aliases

arxiv: 1512.04710 · arxiv_version: 1512.04710v2 · doi: 10.48550/arxiv.1512.04710 · pith_short_12: 7VS5HU5D6S32 · pith_short_16: 7VS5HU5D6S32TZU5 · pith_short_8: 7VS5HU5D

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/7VS5HU5D6S32TZU5B3N2Z4URAY \
  | 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: fd65d3d3a3f4b7a9e69d0edbacf2910631b6b472068ff8a86e529be9a9f39659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38b37ff1333c4c9d47a323eb6e7b3a53fa01e4192bbb598546e6d490b41c6c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-12-15T10:29:19Z",
    "title_canon_sha256": "1daff137b8736fe2921924d686ca7396b714f17d4815ad75cd6d0a21c26d94cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04710",
    "kind": "arxiv",
    "version": 2
  }
}