Pith Number

pith:QWULKSGG

pith:2012:QWULKSGGUHTVHLABM25KDBBETV

not attested not anchored not stored refs pending

Notes on the od-Lindel\"of property

Mathieu Baillif

arxiv:1206.0722 v3 · 2012-06-04 · 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{QWULKSGGUHTVHLABM25KDBBETV}

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	2026-05-18T02:20:47.988580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a8b548c6a1e753ac0166baa184249d7369ef7daef880631a19431c8c70f1e3

Aliases

arxiv: 1206.0722 · arxiv_version: 1206.0722v3 · doi: 10.48550/arxiv.1206.0722 · pith_short_12: QWULKSGGUHTV · pith_short_16: QWULKSGGUHTVHLAB · pith_short_8: QWULKSGG

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/QWULKSGGUHTVHLABM25KDBBETV \
  | 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: 85a8b548c6a1e753ac0166baa184249d7369ef7daef880631a19431c8c70f1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b73c20862e670c8d26e7f68f8508b98c17866ea780dec4524e4049c6d48d490",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-06-04T19:51:29Z",
    "title_canon_sha256": "df9e7f8b6ed3405a39dc696a66876665b7d8591b430672b87743452d98125cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0722",
    "kind": "arxiv",
    "version": 3
  }
}