Pith Number

pith:26HGDRQX

pith:2006:26HGDRQXVNJSFX6IKXUPFMYDH7

not attested not anchored not stored refs pending

Intrinsic Linking and Knotting in Virtual Spatial Graphs

Blake Mellor, Thomas Fleming

arxiv:math/0606231 v1 · 2006-06-09 · 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{26HGDRQXVNJSFX6IKXUPFMYDH7}

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	2026-05-18T02:41:31.851093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78e61c617ab5322dfc855e8f2b3033fe3f6abaa07a8e5287b01013bd5491da1

Aliases

arxiv: math/0606231 · arxiv_version: math/0606231v1 · doi: 10.48550/arxiv.math/0606231 · pith_short_12: 26HGDRQXVNJS · pith_short_16: 26HGDRQXVNJSFX6I · pith_short_8: 26HGDRQX

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/26HGDRQXVNJSFX6IKXUPFMYDH7 \
  | 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: d78e61c617ab5322dfc855e8f2b3033fe3f6abaa07a8e5287b01013bd5491da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ab46a4a7480849691bb560e6d6fd1a15e404002759c95cc99c29b524912258",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-06-09T21:28:00Z",
    "title_canon_sha256": "1655f446065be8e38f4dc4913f9447c8366ffae732b020814a5ac0c0e0a108d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606231",
    "kind": "arxiv",
    "version": 1
  }
}