Pith Number

pith:D2A5VN5G

pith:2013:D2A5VN5GS6CIJNV7NDU34665V3

not attested not anchored not stored refs pending

Weak and strong composition conditions for the Abel differential equation

F. Pakovich

arxiv:1306.0107 v2 · 2013-06-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2A5VN5GS6CIJNV7NDU34665V3}

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	2026-05-18T03:17:46.286812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e81dab7a6978484b6bf68e9be7bddaecc448e66d1e1f7e6618750bf855f3df4

Aliases

arxiv: 1306.0107 · arxiv_version: 1306.0107v2 · doi: 10.48550/arxiv.1306.0107 · pith_short_12: D2A5VN5GS6CI · pith_short_16: D2A5VN5GS6CIJNV7 · pith_short_8: D2A5VN5G

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/D2A5VN5GS6CIJNV7NDU34665V3 \
  | 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: 1e81dab7a6978484b6bf68e9be7bddaecc448e66d1e1f7e6618750bf855f3df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27208b9c457ea6b855b16a4f809fc60f170a041531681a3637d24e78ccf69c0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-01T13:11:33Z",
    "title_canon_sha256": "700248c6a56e04bfe84cf805fa09149ce8273d55b17e23ac7b43c523367bf42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0107",
    "kind": "arxiv",
    "version": 2
  }
}