Pith Number

pith:R3WN3JCW

pith:2012:R3WN3JCW7VXOHCUC33WH3SOCC4

not attested not anchored not stored refs pending

Action-Angle variables on Dirac manifolds

Nguyen Tien Zung

arxiv:1204.3865 v1 · 2012-04-17 · math.SG · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3WN3JCW7VXOHCUC33WH3SOCC4}

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	2026-05-18T03:57:39.351161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eecdda456fd6ee38a82deec7dc9c2173a73b01a7f0c260341e993da4409fa71

Aliases

arxiv: 1204.3865 · arxiv_version: 1204.3865v1 · doi: 10.48550/arxiv.1204.3865 · pith_short_12: R3WN3JCW7VXO · pith_short_16: R3WN3JCW7VXOHCUC · pith_short_8: R3WN3JCW

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/R3WN3JCW7VXOHCUC33WH3SOCC4 \
  | 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: 8eecdda456fd6ee38a82deec7dc9c2173a73b01a7f0c260341e993da4409fa71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428719999fc3b3eeb6b6f68c84969dbb49954c0a034b41516bd72f603637aeda",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-04-17T18:10:12Z",
    "title_canon_sha256": "a64d8f823beeb518098ec892a3310ca79fb8502f69b591d50233fa24e07d39e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3865",
    "kind": "arxiv",
    "version": 1
  }
}