Pith Number

pith:PVVYI3YO

pith:2010:PVVYI3YODP3S5KFJJGD5JYNF3V

not attested not anchored not stored refs pending

Dehn surgeries on the figure eight knot: an upper bound for the complexity

Evgeny Fominykh

arxiv:1007.0695 v1 · 2010-07-05 · 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{PVVYI3YODP3S5KFJJGD5JYNF3V}

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	2026-05-18T04:22:11.447148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6b846f0e1bf72ea8a94987d4e1a5dd4153ecd9a02649a6efbec73f073ab06b

Aliases

arxiv: 1007.0695 · arxiv_version: 1007.0695v1 · doi: 10.48550/arxiv.1007.0695 · pith_short_12: PVVYI3YODP3S · pith_short_16: PVVYI3YODP3S5KFJ · pith_short_8: PVVYI3YO

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/PVVYI3YODP3S5KFJJGD5JYNF3V \
  | 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: 7d6b846f0e1bf72ea8a94987d4e1a5dd4153ecd9a02649a6efbec73f073ab06b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6fd22c33974c290929e2b0452637ce2d1d7b84bb54cfe7d18f68d67daea30f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-07-05T14:59:06Z",
    "title_canon_sha256": "737b9cc7ca4d7017ee39b8fc7800c3dc18c3f6381f59ff9ba268627fe9097bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0695",
    "kind": "arxiv",
    "version": 1
  }
}