Pith Number

pith:YSHHV3W5

pith:2014:YSHHV3W5CQWNI2WY63QFBJIPCU

not attested not anchored not stored refs pending

Analytic version of critical $Q$ spaces and their properties

Junming Liu, Pengtao Li, Zengjian Lou

arxiv:1406.1299 v1 · 2014-06-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSHHV3W5CQWNI2WY63QFBJIPCU}

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	2026-05-18T02:50:23.557401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48e7aeedd142cd46ad8f6e050a50f1522c5e291e5b9ee746fc2ec412782752e

Aliases

arxiv: 1406.1299 · arxiv_version: 1406.1299v1 · doi: 10.48550/arxiv.1406.1299 · pith_short_12: YSHHV3W5CQWN · pith_short_16: YSHHV3W5CQWNI2WY · pith_short_8: YSHHV3W5

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/YSHHV3W5CQWNI2WY63QFBJIPCU \
  | 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: c48e7aeedd142cd46ad8f6e050a50f1522c5e291e5b9ee746fc2ec412782752e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d321c27ef680bb3f87f5256ca8dc1e171f562926b5bb919f32122a1e5c34a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-06-05T08:56:05Z",
    "title_canon_sha256": "153b43439b6a81094a2f9462644d8665d9dfb0832f74055c2a59a91d3082dd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1299",
    "kind": "arxiv",
    "version": 1
  }
}