Pith Number

pith:AX7BWKFX

pith:2011:AX7BWKFX23MK6NWFGHBISTNNIE

not attested not anchored not stored refs pending

Manifolds that are not leaves of codimension one foliations

F\'abio S. Souza (Universidade do Estado do Rio de Janeiro -- UERJ), Paul A. Schweitzer, S. J. (Pontif\'icia Universidade Cat\'olica do Rio de Janeiro -- PUC-Rio)

arxiv:1111.2766 v3 · 2011-11-11 · math.GT · 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{AX7BWKFX23MK6NWFGHBISTNNIE}

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	2026-05-18T03:45:23.178969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fe1b28b7d6d8af36c531c2894dad4112b501c53a3197a18fbd1aeee3a80262

Aliases

arxiv: 1111.2766 · arxiv_version: 1111.2766v3 · doi: 10.48550/arxiv.1111.2766 · pith_short_12: AX7BWKFX23MK · pith_short_16: AX7BWKFX23MK6NWF · pith_short_8: AX7BWKFX

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/AX7BWKFX23MK6NWFGHBISTNNIE \
  | 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: 05fe1b28b7d6d8af36c531c2894dad4112b501c53a3197a18fbd1aeee3a80262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8fa70d90f3b0b0f2a8f74aedbedd53f99ba1038232432cfea1002bb04d6a894",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-11T15:05:01Z",
    "title_canon_sha256": "d8e2a51d2d17750791db3eaa11025c3adeda2c8bf85be1623a891b17a7b7fcb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2766",
    "kind": "arxiv",
    "version": 3
  }
}