Pith Number

pith:6PQXT6ON

pith:2018:6PQXT6ONQUBPICFG4NURM5MYVI

not attested not anchored not stored refs pending

On closures of discrete sets

Santi Spadaro

arxiv:1811.02264 v1 · 2018-11-06 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PQXT6ONQUBPICFG4NURM5MYVI}

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	2026-05-18T00:01:24.692644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e179f9cd8502f408a6e369167598aa1eea328b22412756a52f0ce82e1223bd

Aliases

arxiv: 1811.02264 · arxiv_version: 1811.02264v1 · doi: 10.48550/arxiv.1811.02264 · pith_short_12: 6PQXT6ONQUBP · pith_short_16: 6PQXT6ONQUBPICFG · pith_short_8: 6PQXT6ON

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/6PQXT6ONQUBPICFG4NURM5MYVI \
  | 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: f3e179f9cd8502f408a6e369167598aa1eea328b22412756a52f0ce82e1223bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f789b3671466fd9f8eaf28f8ade79245d24686a03f200fc3232052a6c1316a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-11-06T10:03:00Z",
    "title_canon_sha256": "a3b7d335e2504d2268e6aa24ba571e5dba47ed6c5e900730747f636ff9d5ca8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02264",
    "kind": "arxiv",
    "version": 1
  }
}