Pith Number

pith:OI5CPUUC

pith:2016:OI5CPUUCF2T7FKYXHZ74IT4S4I

not attested not anchored not stored refs pending

Chains conditions in algebraic lattices

Ilham Chakir

arxiv:1609.07167 v1 · 2016-09-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI5CPUUCF2T7FKYXHZ74IT4S4I}

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	2026-05-18T01:04:02.086434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723a27d2822ea7f2ab173e7fc44f92e23cae79361ade06f273021af261f93cc3

Aliases

arxiv: 1609.07167 · arxiv_version: 1609.07167v1 · doi: 10.48550/arxiv.1609.07167 · pith_short_12: OI5CPUUCF2T7 · pith_short_16: OI5CPUUCF2T7FKYX · pith_short_8: OI5CPUUC

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/OI5CPUUCF2T7FKYXHZ74IT4S4I \
  | 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: 723a27d2822ea7f2ab173e7fc44f92e23cae79361ade06f273021af261f93cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdcabccdc5888b282bfb2f0099f7a3eea189f20564126fa40e870d028fc7bc1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-22T21:21:58Z",
    "title_canon_sha256": "a69692f3cf92b0c9413e5e8d0e2b5f93dcaa7fcec350d862fde9d9f7b9e21bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07167",
    "kind": "arxiv",
    "version": 1
  }
}