Pith Number

pith:S33WYGTW

pith:2006:S33WYGTW7OL7GNOTXYLAHPZVW4

not attested not anchored not stored refs pending

Finding planar surfaces in knot- and link-manifolds

Eric Sedgwick, J. Hyam Rubinstein, William Jaco

arxiv:math/0608700 v1 · 2006-08-28 · 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{S33WYGTW7OL7GNOTXYLAHPZVW4}

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	2026-07-04T14:56:09.693685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f76c1a76fb97f335d3be1603bf35b71dbfb469b3b0595d014dc15370e05780

Aliases

arxiv: math/0608700 · arxiv_version: math/0608700v1 · doi: 10.48550/arxiv.math/0608700 · pith_short_12: S33WYGTW7OL7 · pith_short_16: S33WYGTW7OL7GNOT · pith_short_8: S33WYGTW

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/S33WYGTW7OL7GNOTXYLAHPZVW4 \
  | 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: 96f76c1a76fb97f335d3be1603bf35b71dbfb469b3b0595d014dc15370e05780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc24289dd3e5f2a4146ff700523dc386c822114099eb1022414a4ea7e2003f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-08-28T21:17:58Z",
    "title_canon_sha256": "b02c8b142095dfcc477650b8e451056d2cbd36f0bcec7a1e2c1c9130dfb7ca40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608700",
    "kind": "arxiv",
    "version": 1
  }
}