Pith Number

pith:WUTQO2GQ

pith:2016:WUTQO2GQOGT2NGVLHCEH3EKXFF

not attested not anchored not stored refs pending

Quantale-valued Approach Spaces via Closure and Convergence

Hongliang Lai, Walter Tholen

arxiv:1604.08813 v1 · 2016-04-29 · 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{WUTQO2GQOGT2NGVLHCEH3EKXFF}

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	2026-05-18T01:16:01.672877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5270768d071a7a69aab38887d9157296caa4196c6ea20d180b5fa6082a1f713

Aliases

arxiv: 1604.08813 · arxiv_version: 1604.08813v1 · doi: 10.48550/arxiv.1604.08813 · pith_short_12: WUTQO2GQOGT2 · pith_short_16: WUTQO2GQOGT2NGVL · pith_short_8: WUTQO2GQ

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/WUTQO2GQOGT2NGVLHCEH3EKXFF \
  | 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: b5270768d071a7a69aab38887d9157296caa4196c6ea20d180b5fa6082a1f713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562f7bd0231c62f5b5ff6dbde2a39078827357a7aa17f96bf75ee86802376d86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-04-29T13:00:56Z",
    "title_canon_sha256": "078e5d1ea348514b17b7fd9a9a8d2126155f2dde31d414546693ddd7426bdd35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08813",
    "kind": "arxiv",
    "version": 1
  }
}