Pith Number

pith:KU4TPLCI

pith:2018:KU4TPLCIUCAUZWSE3ZMLPTQ6JX

not attested not anchored not stored refs pending

Tight neighborhoods of contact submanifolds

Francisco Presas, Luc\'ia Mart\'in-Merch\'an, Luis Hern\'andez-Corbato

arxiv:1802.07006 v1 · 2018-02-20 · 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{KU4TPLCIUCAUZWSE3ZMLPTQ6JX}

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	2026-05-18T00:22:53.750224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553937ac48a0814cda44de58b7ce1e4de20e487f2253201a31a1b810a9df228f

Aliases

arxiv: 1802.07006 · arxiv_version: 1802.07006v1 · doi: 10.48550/arxiv.1802.07006 · pith_short_12: KU4TPLCIUCAU · pith_short_16: KU4TPLCIUCAUZWSE · pith_short_8: KU4TPLCI

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/KU4TPLCIUCAUZWSE3ZMLPTQ6JX \
  | 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: 553937ac48a0814cda44de58b7ce1e4de20e487f2253201a31a1b810a9df228f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb1a058f3d923df72b0fe43c1974dae05932a14285395d55158dbfd9cb45d8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-02-20T08:37:55Z",
    "title_canon_sha256": "059bd0a6b24298739877c9fcbe48d4f7e5900822261f3316cd813992b51a6e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07006",
    "kind": "arxiv",
    "version": 1
  }
}