Pith Number

pith:GAF53H5N

pith:2016:GAF53H5N6CFYMYSZURWRHBG2SX

not attested not anchored not stored refs pending

Perfect snake-in-the-box codes for rank modulation

Alexander E. Holroyd

arxiv:1602.08073 v3 · 2016-02-25 · math.CO · cs.IT · math.GR · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAF53H5N6CFYMYSZURWRHBG2SX}

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	2026-05-18T01:02:13.134575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300bdd9fadf08b866259a46d1384da95e01b6143b3768dce9c9f1812ed8b96b0

Aliases

arxiv: 1602.08073 · arxiv_version: 1602.08073v3 · doi: 10.48550/arxiv.1602.08073 · pith_short_12: GAF53H5N6CFY · pith_short_16: GAF53H5N6CFYMYSZ · pith_short_8: GAF53H5N

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/GAF53H5N6CFYMYSZURWRHBG2SX \
  | 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: 300bdd9fadf08b866259a46d1384da95e01b6143b3768dce9c9f1812ed8b96b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d694dc73b81c1ccbee88d7a8d53b5159e3aa721658407fc68c0263873cf66d0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.GR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-25T20:30:04Z",
    "title_canon_sha256": "69e42e2c8dbade9c91e04968274b6f0bfe1fd34028bff9753c5781c4085c47a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08073",
    "kind": "arxiv",
    "version": 3
  }
}