Pith Number

pith:APKW3DWA

pith:2015:APKW3DWA42PQFU3NFTR5UZ25NW

not attested not anchored not stored refs pending

Lagrangian Mechanics and Reduction on Fibered Manifolds

Ari Stern, Songhao Li, Xiang Tang

arxiv:1511.00061 v3 · 2015-10-31 · math.DS · math-ph · math.DG · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APKW3DWA42PQFU3NFTR5UZ25NW}

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	2026-05-18T00:48:10.019276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d56d8ec0e69f02d36d2ce3da675d6d930dd823755e45797b4085b74eb5247b

Aliases

arxiv: 1511.00061 · arxiv_version: 1511.00061v3 · doi: 10.48550/arxiv.1511.00061 · pith_short_12: APKW3DWA42PQ · pith_short_16: APKW3DWA42PQFU3N · pith_short_8: APKW3DWA

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/APKW3DWA42PQFU3NFTR5UZ25NW \
  | 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: 03d56d8ec0e69f02d36d2ce3da675d6d930dd823755e45797b4085b74eb5247b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6016be5871abb97ec9e838d3bb9421501746213f88cbe1968b48d6faab5e5b64",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-31T02:44:54Z",
    "title_canon_sha256": "76868bcd0e1d348124bd16a55d2de1351d755f84bf825d13d889758888abcfab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00061",
    "kind": "arxiv",
    "version": 3
  }
}