Pith Number

pith:FVI2J7KI

pith:2015:FVI2J7KICYXSMTSYWZELNXIG7L

not attested not anchored not stored refs pending

Gray coding planar maps

Sergey Avgustinovich, Sergey Kitaev, Vincent Vajnovszki, Vladimir N. Potapov

arxiv:1509.05807 v1 · 2015-09-18 · cs.DM · 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{FVI2J7KICYXSMTSYWZELNXIG7L}

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	2026-05-18T01:32:42.276553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d51a4fd48162f264e58b648b6dd06fafe4ef5fe4bde4f4d03bb202275cfcf29

Aliases

arxiv: 1509.05807 · arxiv_version: 1509.05807v1 · doi: 10.48550/arxiv.1509.05807 · pith_short_12: FVI2J7KICYXS · pith_short_16: FVI2J7KICYXSMTSY · pith_short_8: FVI2J7KI

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/FVI2J7KICYXSMTSYWZELNXIG7L \
  | 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: 2d51a4fd48162f264e58b648b6dd06fafe4ef5fe4bde4f4d03bb202275cfcf29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f7d50ef2cda408906765ebec760846533700198d27683d10f757cc82e76d9d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-09-18T21:50:18Z",
    "title_canon_sha256": "7a9dd7e462724bf082b15427db5482f14bfe292ab5f9fd6f33bf3e14b6d617d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05807",
    "kind": "arxiv",
    "version": 1
  }
}