Pith Number

pith:4BL5YW3L

pith:2010:4BL5YW3LISF36ZLMA4YD24OOZ2

not attested not anchored not stored refs pending

On polar foliations and fundamental group

Marcos M. Alexandrino

arxiv:1012.0926 v2 · 2010-12-04 · 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{4BL5YW3LISF36ZLMA4YD24OOZ2}

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	2026-05-18T04:02:12.023859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e057dc5b6b448bbf656c07303d71ceceb8cc47b455635c19a00721cb6b79af4f

Aliases

arxiv: 1012.0926 · arxiv_version: 1012.0926v2 · doi: 10.48550/arxiv.1012.0926 · pith_short_12: 4BL5YW3LISF3 · pith_short_16: 4BL5YW3LISF36ZLM · pith_short_8: 4BL5YW3L

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/4BL5YW3LISF36ZLMA4YD24OOZ2 \
  | 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: e057dc5b6b448bbf656c07303d71ceceb8cc47b455635c19a00721cb6b79af4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c40adadb05bf707a10f604f13a00a74e678e446da3ff456b4295d2d36229396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-04T14:31:53Z",
    "title_canon_sha256": "48101441f7af9da0d1cdc4eb6a92bd601e253e8a5d90033c85df3c94c07da65d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0926",
    "kind": "arxiv",
    "version": 2
  }
}