Pith Number

pith:EU2QQAYI

pith:2016:EU2QQAYI6I4QZD2XE3FDMBFKQZ

not attested not anchored not stored refs pending

Canonical Horizontal Visibility Graphs are uniquely determined by their degree sequence

Bartolo Luque, Lucas Lacasa

arxiv:1605.05222 v1 · 2016-05-17 · physics.data-an · 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{EU2QQAYI6I4QZD2XE3FDMBFKQZ}

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	2026-05-18T00:47:14.604267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2535080308f2390c8f5726ca3604aa86422f02bc1de784982d5da77ecbf1d3d5

Aliases

arxiv: 1605.05222 · arxiv_version: 1605.05222v1 · doi: 10.48550/arxiv.1605.05222 · pith_short_12: EU2QQAYI6I4Q · pith_short_16: EU2QQAYI6I4QZD2X · pith_short_8: EU2QQAYI

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/EU2QQAYI6I4QZD2XE3FDMBFKQZ \
  | 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: 2535080308f2390c8f5726ca3604aa86422f02bc1de784982d5da77ecbf1d3d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e1c8574a24437155704f780134fa3d33c218c950d27afe0d1b7914a86e2af2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2016-05-17T16:11:13Z",
    "title_canon_sha256": "ddff5a9f71740d0ed782e7bbcd48401ce0d8de820e34ec1e1a5303369872a4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05222",
    "kind": "arxiv",
    "version": 1
  }
}