Pith Number

pith:I7O3NSFV

pith:2007:I7O3NSFVPXQFUEVARLDUST4QX2

not attested not anchored not stored refs pending

Wrinkled fibrations on near-symplectic manifolds

Yanki Lekili

arxiv:0712.2202 v3 · 2007-12-13 · math.GT · 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{I7O3NSFVPXQFUEVARLDUST4QX2}

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	2026-05-18T02:38:19.265474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ddb6c8b57de05a12a08ac7494f90be9574f66a47f43d17c0ab40d730d29b1c

Aliases

arxiv: 0712.2202 · arxiv_version: 0712.2202v3 · doi: 10.48550/arxiv.0712.2202 · pith_short_12: I7O3NSFVPXQF · pith_short_16: I7O3NSFVPXQFUEVA · pith_short_8: I7O3NSFV

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/I7O3NSFVPXQFUEVARLDUST4QX2 \
  | 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: 47ddb6c8b57de05a12a08ac7494f90be9574f66a47f43d17c0ab40d730d29b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc973a9bea5f7ea82c495e0bd6128ab267f4ae7ae62975ae56f9b2001a4e1fbe",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-12-13T20:44:23Z",
    "title_canon_sha256": "f07a6797cfc03feead3cd15945d0ce688f1f87d367d19d8f8b715c188296c045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2202",
    "kind": "arxiv",
    "version": 3
  }
}