Pith Number

pith:H4RPNRTV

pith:2014:H4RPNRTVNKT4YZQ4PAWTRUAW6S

not attested not anchored not stored refs pending

Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings

Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski

arxiv:1401.6970 v2 · 2014-01-27 · math.DG · math-ph · 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{H4RPNRTVNKT4YZQ4PAWTRUAW6S}

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	2026-05-18T00:52:53.529799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f22f6c6756aa7cc661c782d38d016f487c2786a8449f5d4af2a70dacb56f936

Aliases

arxiv: 1401.6970 · arxiv_version: 1401.6970v2 · doi: 10.48550/arxiv.1401.6970 · pith_short_12: H4RPNRTVNKT4 · pith_short_16: H4RPNRTVNKT4YZQ4 · pith_short_8: H4RPNRTV

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/H4RPNRTVNKT4YZQ4PAWTRUAW6S \
  | 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: 3f22f6c6756aa7cc661c782d38d016f487c2786a8449f5d4af2a70dacb56f936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "034db9f7a3ce5491d94d26339e586268108c766b5e75cb97605538a62b347dee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-27T19:19:10Z",
    "title_canon_sha256": "f172353093300addb3cf87803223a99e8c68fc3e80ae0ff243fe7f8eb249d1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6970",
    "kind": "arxiv",
    "version": 2
  }
}