Pith Number

pith:E3EXLDTN

pith:2015:E3EXLDTN3CNCIIKCPIMX573TFP

not attested not anchored not stored refs pending

Symmetry reduction for central force problems

Klas Modin, Olivier Verdier, Robert I McLachlan

arxiv:1512.04631 v1 · 2015-12-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3EXLDTN3CNCIIKCPIMX573TFP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:56:21.206501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c9758e6dd89a2421427a197eff732becab510da85538c465e96cb6ca936f67

Aliases

arxiv: 1512.04631 · arxiv_version: 1512.04631v1 · doi: 10.48550/arxiv.1512.04631 · pith_short_12: E3EXLDTN3CNC · pith_short_16: E3EXLDTN3CNCIIKC · pith_short_8: E3EXLDTN

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/E3EXLDTN3CNCIIKCPIMX573TFP \
  | 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: 26c9758e6dd89a2421427a197eff732becab510da85538c465e96cb6ca936f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204d68578e66de2ed1a9819dc9527afb34b88195c6d9cb3f8556d5b7bec3bc91",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-15T02:44:14Z",
    "title_canon_sha256": "870add893196fc49d6c05955faff36dfc1725580072c64846671dd740e4e536d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04631",
    "kind": "arxiv",
    "version": 1
  }
}