Pith Number

pith:AR7B64UU

pith:2016:AR7B64UUGOZ4GNLVG5KK3XIPUA

not attested not anchored not stored refs pending

Lax distributive laws for topology, II

Hongliang Lai, Lili Shen, Walter Tholen

arxiv:1605.04489 v2 · 2016-05-15 · math.CT · 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{AR7B64UUGOZ4GNLVG5KK3XIPUA}

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	2026-05-18T00:40:28.841550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047e1f729433b3c335753754addd0fa00ccfded02838f35ba369e4cf13794a6c

Aliases

arxiv: 1605.04489 · arxiv_version: 1605.04489v2 · doi: 10.48550/arxiv.1605.04489 · pith_short_12: AR7B64UUGOZ4 · pith_short_16: AR7B64UUGOZ4GNLV · pith_short_8: AR7B64UU

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/AR7B64UUGOZ4GNLVG5KK3XIPUA \
  | 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: 047e1f729433b3c335753754addd0fa00ccfded02838f35ba369e4cf13794a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8fee2c32f95851b860418210a1ec4c4c6cba87e144f8918fa1038d446e6301",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-05-15T02:00:17Z",
    "title_canon_sha256": "3711357085b604db23a02121e032c583bbe4cffd8bd8fe05dfa9093841823d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04489",
    "kind": "arxiv",
    "version": 2
  }
}