Pith Number

pith:56A3X2MV

pith:2013:56A3X2MVLOEA7343S3JZPHVBIS

not attested not anchored not stored refs pending

A Remark on the Reeb Flow for Spheres

Francisco Presas, Roger Casals

arxiv:1304.5785 v2 · 2013-04-21 · 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{56A3X2MVLOEA7343S3JZPHVBIS}

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	2026-05-18T03:27:00.712624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef81bbe9955b880fef9b96d3979ea14499d8eafe9683b6b430f08ee94e77799a

Aliases

arxiv: 1304.5785 · arxiv_version: 1304.5785v2 · doi: 10.48550/arxiv.1304.5785 · pith_short_12: 56A3X2MVLOEA · pith_short_16: 56A3X2MVLOEA7343 · pith_short_8: 56A3X2MV

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/56A3X2MVLOEA7343S3JZPHVBIS \
  | 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: ef81bbe9955b880fef9b96d3979ea14499d8eafe9683b6b430f08ee94e77799a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c718494a4b6ba8ab979d26fd1a1eb9ba9dc912011f9c09fe51166c7fa55fc9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-04-21T19:27:34Z",
    "title_canon_sha256": "5425f3341ad04107ac8ba0c90dbe829b34611beff05dfca6bb82648040a74efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5785",
    "kind": "arxiv",
    "version": 2
  }
}