Pith Number

pith:35FUYUJY

pith:2011:35FUYUJYZJXYC6PQTJZXFKRPEO

not attested not anchored not stored refs pending

Dehn surgery on knots of wrapping number 2

Ying-Qing Wu

arxiv:1105.4287 v1 · 2011-05-21 · 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{35FUYUJYZJXYC6PQTJZXFKRPEO}

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	2026-05-18T04:21:29.474075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4b4c5138ca6f8179f09a7372aa2f238724faf474fc0ed84627633fcb3a03b2

Aliases

arxiv: 1105.4287 · arxiv_version: 1105.4287v1 · doi: 10.48550/arxiv.1105.4287 · pith_short_12: 35FUYUJYZJXY · pith_short_16: 35FUYUJYZJXYC6PQ · pith_short_8: 35FUYUJY

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/35FUYUJYZJXYC6PQTJZXFKRPEO \
  | 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: df4b4c5138ca6f8179f09a7372aa2f238724faf474fc0ed84627633fcb3a03b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ea024963d51ab9c927423ee18b3d7ac55c3504d316d05481f0a74524ef5aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-21T20:17:17Z",
    "title_canon_sha256": "6fbf4b6cc633b829d69d6599895e09dce409c6f3beba9675fe4dba8c5752cba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4287",
    "kind": "arxiv",
    "version": 1
  }
}