Pith Number

pith:U4VAQVVS

pith:2018:U4VAQVVSQHRYHA7UQGGMYCDX3Q

not attested not anchored not stored refs pending

Real Analytic Vector Fields with First Integral and Separatrices

Fernando Sanz S\'anchez, Rog\'erio Mol

arxiv:1805.05310 v1 · 2018-05-14 · 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{U4VAQVVSQHRYHA7UQGGMYCDX3Q}

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	2026-05-18T00:16:03.484238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72a0856b281e38383f4818ccc0877dc32089dbdc4cb8d589ed1536c43d72b8e

Aliases

arxiv: 1805.05310 · arxiv_version: 1805.05310v1 · doi: 10.48550/arxiv.1805.05310 · pith_short_12: U4VAQVVSQHRY · pith_short_16: U4VAQVVSQHRYHA7U · pith_short_8: U4VAQVVS

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/U4VAQVVSQHRYHA7UQGGMYCDX3Q \
  | 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: a72a0856b281e38383f4818ccc0877dc32089dbdc4cb8d589ed1536c43d72b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59aaf7a52e82236056f5357e8b9184ae762390dba18712341e8efc183649f0c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-14T17:47:07Z",
    "title_canon_sha256": "fa6527092e3210cbd802a4e5ed6a2b00aed9c242ba7be6f01820125291f08c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05310",
    "kind": "arxiv",
    "version": 1
  }
}