Pith Number

pith:XCJDGPW4

pith:2014:XCJDGPW4UTYV3CGHPBZB7SPBNA

not attested not anchored not stored refs pending

Dynamics and the Godbillon-Vey Class of C^1 Foliations

R\'emi Langevin, Steven Hurder

arxiv:1403.0494 v2 · 2014-03-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCJDGPW4UTYV3CGHPBZB7SPBNA}

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	2026-05-18T01:23:38.954141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b892333edca4f15d88c778721fc9e16818f6ab5695b431a7a48902d08f50b5f8

Aliases

arxiv: 1403.0494 · arxiv_version: 1403.0494v2 · doi: 10.48550/arxiv.1403.0494 · pith_short_12: XCJDGPW4UTYV · pith_short_16: XCJDGPW4UTYV3CGH · pith_short_8: XCJDGPW4

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/XCJDGPW4UTYV3CGHPBZB7SPBNA \
  | 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: b892333edca4f15d88c778721fc9e16818f6ab5695b431a7a48902d08f50b5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ad9b2dd8894b3312eb16d3d6c2588b059b0f6ac57d2d2b1334277097471df7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-03T17:33:00Z",
    "title_canon_sha256": "4c03601ace9d5e8d9f3eaebbbb6a3f84536a19f59ad75075275e91aa52a287bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0494",
    "kind": "arxiv",
    "version": 2
  }
}