Pith Number

pith:3OLIGMVZ

pith:2015:3OLIGMVZHGCEIPZUVL3V7GM3XV

not attested not anchored not stored refs pending

A parity map of framed chord diagrams

Denis Ilyutko, Vassily Manturov

arxiv:1506.09182 v1 · 2015-06-30 · math.GT · 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{3OLIGMVZHGCEIPZUVL3V7GM3XV}

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	2026-05-18T01:37:33.458193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db968332b93984443f34aaf75f999bbd4e8b3c62c2da0ee6cad359ca13debff0

Aliases

arxiv: 1506.09182 · arxiv_version: 1506.09182v1 · doi: 10.48550/arxiv.1506.09182 · pith_short_12: 3OLIGMVZHGCE · pith_short_16: 3OLIGMVZHGCEIPZU · pith_short_8: 3OLIGMVZ

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/3OLIGMVZHGCEIPZUVL3V7GM3XV \
  | 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: db968332b93984443f34aaf75f999bbd4e8b3c62c2da0ee6cad359ca13debff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6c334bdef263d05fc57814c132eba37858d65c339be36438153583becf669d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-30T18:03:13Z",
    "title_canon_sha256": "9d7c598f8dc7cb3a87f860ffa70375a53217876f9fc83cee975f9492d839c42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09182",
    "kind": "arxiv",
    "version": 1
  }
}