Pith Number

pith:QCVX3DID

pith:2017:QCVX3DIDWW4R3RKB4JYPDTODMD

not attested not anchored not stored refs pending

The Faa di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations

Kurusch Ebrahimi-Fard, W. Steven Gray

arxiv:1703.05372 v2 · 2017-03-15 · 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{QCVX3DIDWW4R3RKB4JYPDTODMD}

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	2026-05-17T23:49:18.069442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80ab7d8d03b5b91dc541e270f1cdc360e1f9ae773482c1b74ce0c39b150a969a

Aliases

arxiv: 1703.05372 · arxiv_version: 1703.05372v2 · doi: 10.48550/arxiv.1703.05372 · pith_short_12: QCVX3DIDWW4R · pith_short_16: QCVX3DIDWW4R3RKB · pith_short_8: QCVX3DID

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/QCVX3DIDWW4R3RKB4JYPDTODMD \
  | 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: 80ab7d8d03b5b91dc541e270f1cdc360e1f9ae773482c1b74ce0c39b150a969a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bc06e1cdd282d0648306662e9cb6995bdfc81adc8b60bbce8b56747c4d62e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-15T20:16:22Z",
    "title_canon_sha256": "c3c6c53d6c91a4f4ada1eb74afa213d81d72be315d0ff2fed1666d447c531e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05372",
    "kind": "arxiv",
    "version": 2
  }
}