Pith Number

pith:GDQBL72G

pith:2007:GDQBL72GCSZLYXR5GH6R33UTPN

not attested not anchored not stored refs pending

Compatibility of quantization functors of Lie bialgebras with duality and doubling operations

Benjamin Enriquez, Nathan Geer

arxiv:0707.2337 v1 · 2007-07-16 · 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{GDQBL72GCSZLYXR5GH6R33UTPN}

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	2026-05-18T04:41:04.083884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e015ff4614b2bc5e3d31fd1dee937b48975eef6b2eb7a530195704c52ef656

Aliases

arxiv: 0707.2337 · arxiv_version: 0707.2337v1 · doi: 10.48550/arxiv.0707.2337 · pith_short_12: GDQBL72GCSZL · pith_short_16: GDQBL72GCSZLYXR5 · pith_short_8: GDQBL72G

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/GDQBL72GCSZLYXR5GH6R33UTPN \
  | 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: 30e015ff4614b2bc5e3d31fd1dee937b48975eef6b2eb7a530195704c52ef656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3661a5e653e52f7cacc3e13ddbeba7a3dc1db677a0554fe62f189088226176",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-07-16T15:07:14Z",
    "title_canon_sha256": "0c2d64e6c9b5e3dea55b8f81e993d760d5147d46c20007eb3744bcc3e3defbbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2337",
    "kind": "arxiv",
    "version": 1
  }
}