Pith Number

pith:3IZDOVJM

pith:2010:3IZDOVJMZEYGWKRVGJECOTGPU4

not attested not anchored not stored refs pending

Quandle homotopy invariants of knotted surfaces

Takefumi Nosaka

arxiv:1011.6035 v3 · 2010-11-28 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IZDOVJMZEYGWKRVGJECOTGPU4}

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	2026-05-18T02:23:17.359913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3237552cc9306b2a353248274ccfa71b76decd4ca048881dbec1c649624a7f

Aliases

arxiv: 1011.6035 · arxiv_version: 1011.6035v3 · doi: 10.48550/arxiv.1011.6035 · pith_short_12: 3IZDOVJMZEYG · pith_short_16: 3IZDOVJMZEYGWKRV · pith_short_8: 3IZDOVJM

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/3IZDOVJMZEYGWKRVGJECOTGPU4 \
  | 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: da3237552cc9306b2a353248274ccfa71b76decd4ca048881dbec1c649624a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c24553466a55a5b8203a83627516d0e9b674e30af1f1b91f9555c4be9fd6881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-11-28T11:37:30Z",
    "title_canon_sha256": "e73daa9dc7bbab0869c153173cfc70ad24e234d718199497e6371ba9a71fa97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6035",
    "kind": "arxiv",
    "version": 3
  }
}