Pith Number

pith:3AMG3Q37

pith:2018:3AMG3Q37WNLDQN237Q7POORQ6O

not attested not anchored not stored refs pending

The Lattice of subracks is atomic

Amir Saki, Dariush Kiani

arxiv:1802.07771 v1 · 2018-02-21 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AMG3Q37WNLDQN237Q7POORQ6O}

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	2026-05-18T00:22:48.948550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8186dc37fb35638375bfc3ef73a30f3a7fa413e9398a15e94c8398f8fe1842a

Aliases

arxiv: 1802.07771 · arxiv_version: 1802.07771v1 · doi: 10.48550/arxiv.1802.07771 · pith_short_12: 3AMG3Q37WNLD · pith_short_16: 3AMG3Q37WNLDQN23 · pith_short_8: 3AMG3Q37

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/3AMG3Q37WNLDQN237Q7POORQ6O \
  | 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: d8186dc37fb35638375bfc3ef73a30f3a7fa413e9398a15e94c8398f8fe1842a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6721b182f9d50e8ef21e7a881fcca18d029c14a114ace9026c1ef9b30eb4454f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-21T19:46:12Z",
    "title_canon_sha256": "a0d83bbdc8b18c4209005ecfc15ada98ef80c53ad863c4d5056bec4411ce5b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07771",
    "kind": "arxiv",
    "version": 1
  }
}