Pith Number

pith:NZ6TOOAP

pith:2018:NZ6TOOAPDQVAY4I6RO6Z4FFSWZ

not attested not anchored not stored refs pending

Rail knotoids

Dimitrios Kodokostas, Sofia Lambropoulou

arxiv:1812.09493 v3 · 2018-12-22 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ6TOOAPDQVAY4I6RO6Z4FFSWZ}

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	2026-05-17T23:50:36.202580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e7d37380f1c2a0c711e8bbd9e14b2b6604d56891c4fff66378ce63406787ae6

Aliases

arxiv: 1812.09493 · arxiv_version: 1812.09493v3 · doi: 10.48550/arxiv.1812.09493 · pith_short_12: NZ6TOOAPDQVA · pith_short_16: NZ6TOOAPDQVAY4I6 · pith_short_8: NZ6TOOAP

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/NZ6TOOAPDQVAY4I6RO6Z4FFSWZ \
  | 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: 6e7d37380f1c2a0c711e8bbd9e14b2b6604d56891c4fff66378ce63406787ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2819aa59a58c91e894678d415091fac2eb304f797c948bc57e77f41364353575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-22T10:09:48Z",
    "title_canon_sha256": "626762df8621406facad3bff88fd5c0a86b2f674a7d2f1d8af5e4368e2e2d2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09493",
    "kind": "arxiv",
    "version": 3
  }
}