Pith Number

pith:VLU77BEB

pith:2018:VLU77BEBCWDCFJC45UIXCOEYSC

not attested not anchored not stored refs pending

Idempotent means on free binary systems do not exist

Justin Tatch Moore

arxiv:1807.05469 v1 · 2018-07-15 · math.CO · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLU77BEBCWDCFJC45UIXCOEYSC}

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	2026-05-18T00:10:43.468711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae9ff8481158622a45ced1171389890a2d40c8e34ea4093848372c713da33e5

Aliases

arxiv: 1807.05469 · arxiv_version: 1807.05469v1 · doi: 10.48550/arxiv.1807.05469 · pith_short_12: VLU77BEBCWDC · pith_short_16: VLU77BEBCWDCFJC4 · pith_short_8: VLU77BEB

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/VLU77BEBCWDCFJC45UIXCOEYSC \
  | 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: aae9ff8481158622a45ced1171389890a2d40c8e34ea4093848372c713da33e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70185557d3450f166907a82a7619fd37905b26ffacfdfa6bdecbc77859f2c1fa",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-15T00:18:32Z",
    "title_canon_sha256": "3df5c925a11cd3156697df7ffebd044699e571a3d58c0da2bb914f4d72a17088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05469",
    "kind": "arxiv",
    "version": 1
  }
}