Pith Number

pith:U5LB5FXI

pith:2007:U5LB5FXIM7R2UB37Y24RC24LVJ

not attested not anchored not stored refs pending

Symmetries in noncommutative field theories: Hopf versus Lie

D. V. Vassilevich

arxiv:0711.4091 v1 · 2007-11-26 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5LB5FXIM7R2UB37Y24RC24LVJ}

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	2026-05-18T04:30:26.847455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7561e96e867e3aa077fc6b9116b8baa56167e1d030cda6c8feddefa3fea4998

Aliases

arxiv: 0711.4091 · arxiv_version: 0711.4091v1 · doi: 10.48550/arxiv.0711.4091 · pith_short_12: U5LB5FXIM7R2 · pith_short_16: U5LB5FXIM7R2UB37 · pith_short_8: U5LB5FXI

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/U5LB5FXIM7R2UB37Y24RC24LVJ \
  | 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: a7561e96e867e3aa077fc6b9116b8baa56167e1d030cda6c8feddefa3fea4998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d63255bb4d75aad02a853f452071f25060fc76fb39f31f24832145ca3f08ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-11-26T19:56:15Z",
    "title_canon_sha256": "a3cf5996c5fcd639789474d424d265d0d5317ef6f1f0710b57e1c0ae81ac70d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4091",
    "kind": "arxiv",
    "version": 1
  }
}