Pith Number

pith:WDRLYPNR

pith:2015:WDRLYPNRI5A3INTEMULOA3YXOC

not attested not anchored not stored refs pending

Tulczyjew triples in the constrained dynamics of strings

Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski

arxiv:1509.07977 v1 · 2015-09-26 · math-ph · math.DG · 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{WDRLYPNRI5A3INTEMULOA3YXOC}

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	2026-05-18T00:52:53.051441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e2bc3db14741b436646516e06f177080bffdb82d57bd50831dcf22cd309e41

Aliases

arxiv: 1509.07977 · arxiv_version: 1509.07977v1 · doi: 10.48550/arxiv.1509.07977 · pith_short_12: WDRLYPNRI5A3 · pith_short_16: WDRLYPNRI5A3INTE · pith_short_8: WDRLYPNR

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/WDRLYPNRI5A3INTEMULOA3YXOC \
  | 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: b0e2bc3db14741b436646516e06f177080bffdb82d57bd50831dcf22cd309e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808c28288de7e317a2f7f5ff146ced270df9597f9c6bdc191bec179951d66b8e",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-26T13:29:55Z",
    "title_canon_sha256": "b2cd778f4d07946c5528c1fbe69ecde2525433fa111aec8e3912af6753c85456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07977",
    "kind": "arxiv",
    "version": 1
  }
}