Pith Number

pith:BM4Z3ZYD

pith:2017:BM4Z3ZYD477FVOI44TKFLU73U5

not attested not anchored not stored refs pending

A counterexample to the composition condition conjecture for polynomial Abel differential equations

Jaume Gin\'e, Maite Grau, Xavier Santallusia

arxiv:1705.07731 v1 · 2017-05-15 · 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{BM4Z3ZYD477FVOI44TKFLU73U5}

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	2026-05-18T00:44:04.726600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b399de703e7fe5ab91ce4d455d3fba759c1a484854a5e39cee5ccf6446b644f

Aliases

arxiv: 1705.07731 · arxiv_version: 1705.07731v1 · doi: 10.48550/arxiv.1705.07731 · pith_short_12: BM4Z3ZYD477F · pith_short_16: BM4Z3ZYD477FVOI4 · pith_short_8: BM4Z3ZYD

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/BM4Z3ZYD477FVOI44TKFLU73U5 \
  | 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: 0b399de703e7fe5ab91ce4d455d3fba759c1a484854a5e39cee5ccf6446b644f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c60ad7fccf1c0e47a6a1e229505d70f144c32fa5d990100227506190a878226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-15T12:01:49Z",
    "title_canon_sha256": "1d14ca8674ff0c741095751fc3d7e48da30dece79b57172d65ace853c1adf61f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07731",
    "kind": "arxiv",
    "version": 1
  }
}