Pith Number

pith:QPBJUM6W

pith:2012:QPBJUM6WUVNWRHCY4M2L3HFOZX

not attested not anchored not stored refs pending

Point Equivalence of Second-Order ODEs: Maximal Invariant Classification Order

Francis Valiquette, Robert Milson

arxiv:1208.1014 v3 · 2012-08-05 · math.DG · math-ph · math.CA · 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{QPBJUM6WUVNWRHCY4M2L3HFOZX}

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	2026-05-18T02:51:06.689641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c29a33d6a55b689c58e334bd9caecdd2668fc6753fb5850c5c5e9ababc5f3d

Aliases

arxiv: 1208.1014 · arxiv_version: 1208.1014v3 · doi: 10.48550/arxiv.1208.1014 · pith_short_12: QPBJUM6WUVNW · pith_short_16: QPBJUM6WUVNWRHCY · pith_short_8: QPBJUM6W

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/QPBJUM6WUVNWRHCY4M2L3HFOZX \
  | 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: 83c29a33d6a55b689c58e334bd9caecdd2668fc6753fb5850c5c5e9ababc5f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b306b74938aeaa002d0ef3078bfd69b04f65ac4be735925c75b63a8ec3227d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-05T14:23:44Z",
    "title_canon_sha256": "aca5e12db3de87ef7b1b380193aa4507713bd7386de982a7e3be1ac4c62028f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1014",
    "kind": "arxiv",
    "version": 3
  }
}