Pith Number

pith:XED3J2VE

pith:2016:XED3J2VEHSPI4ANHDVKBCEYUKR

not attested not anchored not stored refs pending

Regularity vs. constructive complete (co)distributivity

Hongliang Lai, Lili Shen

arxiv:1606.08930 v2 · 2016-06-29 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XED3J2VEHSPI4ANHDVKBCEYUKR}

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	2026-05-18T00:14:41.495430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b907b4eaa43c9e8e01a71d5411131454591793bd23ffccba7870550b97f1d226

Aliases

arxiv: 1606.08930 · arxiv_version: 1606.08930v2 · doi: 10.48550/arxiv.1606.08930 · pith_short_12: XED3J2VEHSPI · pith_short_16: XED3J2VEHSPI4ANH · pith_short_8: XED3J2VE

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/XED3J2VEHSPI4ANHDVKBCEYUKR \
  | 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: b907b4eaa43c9e8e01a71d5411131454591793bd23ffccba7870550b97f1d226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23ff7d317ce03e2edded85fc482c3e86a46867bfdf1716b26950ba49eb9f2ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-06-29T01:13:47Z",
    "title_canon_sha256": "f77eb7e7bf6aeaf9e4371878c0b1ca4239e2f4da16eac694abbb86b6091ed81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08930",
    "kind": "arxiv",
    "version": 2
  }
}