Pith Number

pith:VJMABBVK

pith:2012:VJMABBVKWITFQZFX2SY4VQH4SO

not attested not anchored not stored refs pending

Exceptional and cosmetic surgeries on knots

Jesse Johnson, Maggy Tomova, Marion Campisi, Ryan Blair, Scott A. Taylor

arxiv:1209.0197 v3 · 2012-09-02 · 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{VJMABBVKWITFQZFX2SY4VQH4SO}

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	2026-05-18T01:23:26.767776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa580086aab2265864b7d4b1cac0fc939b89d5bc70866a220e6db8e79c403357

Aliases

arxiv: 1209.0197 · arxiv_version: 1209.0197v3 · doi: 10.48550/arxiv.1209.0197 · pith_short_12: VJMABBVKWITF · pith_short_16: VJMABBVKWITFQZFX · pith_short_8: VJMABBVK

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/VJMABBVKWITFQZFX2SY4VQH4SO \
  | 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: aa580086aab2265864b7d4b1cac0fc939b89d5bc70866a220e6db8e79c403357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a5172fc14379f16d5ada37960f85c330aaa74f09d6bc4d8796e92173b427cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-02T18:03:10Z",
    "title_canon_sha256": "5af7b69c5fc8fc559aeea161b1848fd3ae443909cde38587834a29b4b1e068db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0197",
    "kind": "arxiv",
    "version": 3
  }
}