Pith Number

pith:IOIBIOQD

pith:2018:IOIBIOQDC6QFSGW6KBU2FSYBVE

not attested not anchored not stored refs pending

On the transversal dependence of weak K.A.M. solutions for symplectic twist maps

Marie-Claude Arnaud, Maxime Zavidovique

arxiv:1809.02372 v1 · 2018-09-07 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOIBIOQDC6QFSGW6KBU2FSYBVE}

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	2026-05-18T00:06:17.305406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4390143a0317a0591ade5069a2cb01a92996fb48bfd1c41c394e4ce58f4a28d8

Aliases

arxiv: 1809.02372 · arxiv_version: 1809.02372v1 · doi: 10.48550/arxiv.1809.02372 · pith_short_12: IOIBIOQDC6QF · pith_short_16: IOIBIOQDC6QFSGW6 · pith_short_8: IOIBIOQD

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/IOIBIOQDC6QFSGW6KBU2FSYBVE \
  | 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: 4390143a0317a0591ade5069a2cb01a92996fb48bfd1c41c394e4ce58f4a28d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e1a2c1405bb794e800c94124044de9fb0e0f184190919be2fd9bd704d68026",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-07T09:38:24Z",
    "title_canon_sha256": "596940cb50775c2d396d07dff382f4bd6e137122f94ae2f204fe7795a819418d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02372",
    "kind": "arxiv",
    "version": 1
  }
}