Pith Number

pith:XCAN5Y2S

pith:2011:XCAN5Y2STKYGNZRAJBBOLVW5U6

not attested not anchored not stored refs pending

Small knot complements, exceptional surgeries, and hidden symmetries

Neil Hoffman

arxiv:1110.3863 v2 · 2011-10-18 · 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{XCAN5Y2STKYGNZRAJBBOLVW5U6}

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	2026-05-18T02:03:38.729720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b880dee3529ab066e6204842e5d6dda78efc19539b89c3573629ca276a95580b

Aliases

arxiv: 1110.3863 · arxiv_version: 1110.3863v2 · doi: 10.48550/arxiv.1110.3863 · pith_short_12: XCAN5Y2STKYG · pith_short_16: XCAN5Y2STKYGNZRA · pith_short_8: XCAN5Y2S

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/XCAN5Y2STKYGNZRAJBBOLVW5U6 \
  | 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: b880dee3529ab066e6204842e5d6dda78efc19539b89c3573629ca276a95580b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1263c57afdcb1b8c0dffc20d3c3b7a243fd5806e283834f83e3920f6f31790b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-18T02:09:56Z",
    "title_canon_sha256": "c4e1667bb093d1c5f59c0cb60b010a3c5ae2ddbb480f292dcf779d9b455df762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3863",
    "kind": "arxiv",
    "version": 2
  }
}