Pith Number

pith:4TIJSXYM

pith:2005:4TIJSXYMC6NSOQOQQ7V5TCYSOF

not attested not anchored not stored refs pending

Topology of spaces of knots in dimension 3

Ryan Budney

arxiv:math/0506524 v4 · 2005-06-25 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TIJSXYMC6NSOQOQQ7V5TCYSOF}

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	2026-05-18T02:57:51.080393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d0995f0c179b2741d087ebd98b12714f72c7182e8a072caa74d04846115943

Aliases

arxiv: math/0506524 · arxiv_version: math/0506524v4 · doi: 10.48550/arxiv.math/0506524 · pith_short_12: 4TIJSXYMC6NS · pith_short_16: 4TIJSXYMC6NSOQOQ · pith_short_8: 4TIJSXYM

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/4TIJSXYMC6NSOQOQQ7V5TCYSOF \
  | 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: e4d0995f0c179b2741d087ebd98b12714f72c7182e8a072caa74d04846115943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d84feb10c8303c3cb5756cebddfd179b97d2ba68812ccbe5d0e8ecdff7ec270",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-06-25T05:45:14Z",
    "title_canon_sha256": "5277a1505d4c3dc2b67c5156f85bc001359fbed76581ec56d5ef949012e57028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506524",
    "kind": "arxiv",
    "version": 4
  }
}