Pith Number

pith:ALL52MWT

pith:2014:ALL52MWTUKPRBTQSU42N7GQNTB

not attested not anchored not stored refs pending

Invariants of third-order ordinary differential equations $y'''=f(x,y,y',y'')$ via fiber preserving transformations

Ahmad Y. Al-Dweik, F. M. Mahomed, H. Azad, M. T. Mustafa

arxiv:1410.0815 v1 · 2014-10-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALL52MWTUKPRBTQSU42N7GQNTB}

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	2026-05-18T02:41:09.661352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d7dd32d3a29f10ce12a734df9a0d985ae94a92b0457e4f8ef30127b5433dd5

Aliases

arxiv: 1410.0815 · arxiv_version: 1410.0815v1 · doi: 10.48550/arxiv.1410.0815 · pith_short_12: ALL52MWTUKPR · pith_short_16: ALL52MWTUKPRBTQS · pith_short_8: ALL52MWT

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/ALL52MWTUKPRBTQSU42N7GQNTB \
  | 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: 02d7dd32d3a29f10ce12a734df9a0d985ae94a92b0457e4f8ef30127b5433dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "405933b4e5acd06531e78ad558ce7387f7b6e7f385c32fab61b18e4782001d28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-03T10:58:53Z",
    "title_canon_sha256": "e7a2337663f4d44a1e3582a28e3d2fa2de4dd9303c29fb6d220b0ab28297ba3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0815",
    "kind": "arxiv",
    "version": 1
  }
}