Pith Number

pith:GSYHEW7Q

pith:2008:GSYHEW7Q64X6XIIJNA3FYWSXDI

not attested not anchored not stored refs pending

Surgery on a knot in (Surface x I)

Abigail Thompson, Martin Scharlemann

arxiv:0807.0405 v2 · 2008-07-02 · 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{GSYHEW7Q64X6XIIJNA3FYWSXDI}

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	2026-05-18T02:41:51.593129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b0725bf0f72feba10968365c5a571a046155cec6774c1754058cb470c05ceb

Aliases

arxiv: 0807.0405 · arxiv_version: 0807.0405v2 · doi: 10.48550/arxiv.0807.0405 · pith_short_12: GSYHEW7Q64X6 · pith_short_16: GSYHEW7Q64X6XIIJ · pith_short_8: GSYHEW7Q

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/GSYHEW7Q64X6XIIJNA3FYWSXDI \
  | 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: 34b0725bf0f72feba10968365c5a571a046155cec6774c1754058cb470c05ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200885a10bcb3155ec4fd3c1e0de044b22a3fa7be60a7fb168153abdd27e2888",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-07-02T18:06:23Z",
    "title_canon_sha256": "bf2290db207acd53edf33fd55bef7c508d116aad81013ca43a97c274cf5290fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0405",
    "kind": "arxiv",
    "version": 2
  }
}