Pith Number

pith:UM7SVGHV

pith:2012:UM7SVGHVRHRQDN4ZSBQITDUAGJ

not attested not anchored not stored refs pending

The Principle of Least Action as Interpreted by Nature and by the Observer

Alexandre Gondran, Michel Gondran

arxiv:1203.2736 v4 · 2012-03-13 · quant-ph · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UM7SVGHVRHRQDN4ZSBQITDUAGJ}

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	2026-05-18T02:14:18.351873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33f2a98f589e301b7999060898e8032424a6294c1a64f18e2398e1f7bf44933

Aliases

arxiv: 1203.2736 · arxiv_version: 1203.2736v4 · doi: 10.48550/arxiv.1203.2736 · pith_short_12: UM7SVGHVRHRQ · pith_short_16: UM7SVGHVRHRQDN4Z · pith_short_8: UM7SVGHV

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/UM7SVGHVRHRQDN4ZSBQITDUAGJ \
  | 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: a33f2a98f589e301b7999060898e8032424a6294c1a64f18e2398e1f7bf44933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0e797f95c24404264bcdf3e2c4c47a73ff73839f41cb5db89bd8c94b552df5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-03-13T08:47:17Z",
    "title_canon_sha256": "048c9271e0ac879034328645d78b0a152ee0228db12209fc8ae79ae66c8c50eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2736",
    "kind": "arxiv",
    "version": 4
  }
}