Pith Number

pith:Z4QXB7PA

pith:2012:Z4QXB7PA42AVCBWVYOW4YKK6QX

not attested not anchored not stored refs pending

Quantization of (volume-preserving) actions on R^d

Benoit Dherin, Igor Mencattini

arxiv:1202.0886 v2 · 2012-02-04 · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4QXB7PA42AVCBWVYOW4YKK6QX}

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	2026-05-18T03:48:44.975029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2170fde0e6815106d5c3adcc295e85de8a480224d76a08713a0f29f64f685b

Aliases

arxiv: 1202.0886 · arxiv_version: 1202.0886v2 · doi: 10.48550/arxiv.1202.0886 · pith_short_12: Z4QXB7PA42AV · pith_short_16: Z4QXB7PA42AVCBWV · pith_short_8: Z4QXB7PA

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/Z4QXB7PA42AVCBWVYOW4YKK6QX \
  | 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: cf2170fde0e6815106d5c3adcc295e85de8a480224d76a08713a0f29f64f685b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ac1c10f61798ce6559595707104e062f98bb88d2e42e206a732b1b538830a4",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-04T09:58:34Z",
    "title_canon_sha256": "71ab39013710e67187eaa2666b46830be130a7d6d6ff0d1c8ba1f80c9099c345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0886",
    "kind": "arxiv",
    "version": 2
  }
}