Pith Number

pith:6AZYQQWU

pith:2016:6AZYQQWUI7H2JBH4W4WNOZWZRN

not attested not anchored not stored refs pending

Enumeration of Chord Diagrams without Loops and Parallel Chords

Alexander Omelchenko, Evgeniy Krasko

arxiv:1601.05073 v1 · 2016-01-19 · 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{6AZYQQWUI7H2JBH4W4WNOZWZRN}

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	2026-05-18T00:35:09.547042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0338842d447cfa484fcb72cd766d98b7d11b56464e6fcd9f340fb304e2ab9eb

Aliases

arxiv: 1601.05073 · arxiv_version: 1601.05073v1 · doi: 10.48550/arxiv.1601.05073 · pith_short_12: 6AZYQQWUI7H2 · pith_short_16: 6AZYQQWUI7H2JBH4 · pith_short_8: 6AZYQQWU

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/6AZYQQWUI7H2JBH4W4WNOZWZRN \
  | 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: f0338842d447cfa484fcb72cd766d98b7d11b56464e6fcd9f340fb304e2ab9eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c599a331944f48143187c63cc74eb3056fe04bb9b52d014b295942bf3a5dedd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-19T20:37:37Z",
    "title_canon_sha256": "469d1ea1b0ed6196a6239fb1deb2770f2fd4666de582f2ca8398f2ea348eea5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05073",
    "kind": "arxiv",
    "version": 1
  }
}