Pith Number

pith:X3MERJS7

pith:2013:X3MERJS7YXWOPFOIFYLWOBDPEY

not attested not anchored not stored refs pending

Lagrangian mechanics on centered semi-direct product

Henry O. Jacobs, Leonardo J. Colombo

arxiv:1303.3883 v2 · 2013-03-15 · 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{X3MERJS7YXWOPFOIFYLWOBDPEY}

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	2026-05-18T02:41:18.880652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed848a65fc5ece795c82e1767046f2632796663bc74e946abb40dbd26061034

Aliases

arxiv: 1303.3883 · arxiv_version: 1303.3883v2 · doi: 10.48550/arxiv.1303.3883 · pith_short_12: X3MERJS7YXWO · pith_short_16: X3MERJS7YXWOPFOI · pith_short_8: X3MERJS7

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/X3MERJS7YXWOPFOIFYLWOBDPEY \
  | 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: bed848a65fc5ece795c82e1767046f2632796663bc74e946abb40dbd26061034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffa699993d96376958cbb925638aee6b03bff7b6c57dffbf1bad82c480b9ea5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-15T19:55:20Z",
    "title_canon_sha256": "638d1c2c6fbfaa99187a3c972c89a68908b419441b809ebf66bd71a6487d5a3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3883",
    "kind": "arxiv",
    "version": 2
  }
}