Pith Number

pith:HR4OLJZZ

pith:2011:HR4OLJZZRWFT4UTANYPXOJJIOS

not attested not anchored not stored refs pending

On the destruction of minimal foliations

Blaz Mramor, Bob Rink

arxiv:1111.5966 v1 · 2011-11-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR4OLJZZRWFT4UTANYPXOJJIOS}

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	2026-05-18T02:57:54.047960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c78e5a7398d8b3e52606e1f77252874ad960e6f03deecb6eb39fb57e21e4fea

Aliases

arxiv: 1111.5966 · arxiv_version: 1111.5966v1 · doi: 10.48550/arxiv.1111.5966 · pith_short_12: HR4OLJZZRWFT · pith_short_16: HR4OLJZZRWFT4UTA · pith_short_8: HR4OLJZZ

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/HR4OLJZZRWFT4UTANYPXOJJIOS \
  | 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: 3c78e5a7398d8b3e52606e1f77252874ad960e6f03deecb6eb39fb57e21e4fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6870a9dc40d67b1ce083a5b9aa620a1271c374424def75ef54145a1f92ddda9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-25T12:35:33Z",
    "title_canon_sha256": "b1ea4fe649143074a46a3471f35844d4dfdc8d5dfd4ed65b86133ac061700339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5966",
    "kind": "arxiv",
    "version": 1
  }
}