Pith Number

pith:IZJLIYJ5

pith:2016:IZJLIYJ55WPNATUSVCPTZCE4HZ

not attested not anchored not stored refs pending

HL-homotopy of handlebody-links and Milnor's invariants

Atsuhiko Mizusawa, Yuka Kotorii

arxiv:1603.09067 v3 · 2016-03-30 · 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{IZJLIYJ55WPNATUSVCPTZCE4HZ}

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	2026-05-18T01:08:25.686884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4652b4613ded9ed04e92a89f3c889c3e41d8ec0a1b53d11a2d62352f3cc69dba

Aliases

arxiv: 1603.09067 · arxiv_version: 1603.09067v3 · doi: 10.48550/arxiv.1603.09067 · pith_short_12: IZJLIYJ55WPN · pith_short_16: IZJLIYJ55WPNATUS · pith_short_8: IZJLIYJ5

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/IZJLIYJ55WPNATUSVCPTZCE4HZ \
  | 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: 4652b4613ded9ed04e92a89f3c889c3e41d8ec0a1b53d11a2d62352f3cc69dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a314f9ceedf81bd1974b2d380bfa74338d6f2cf999a01126d09537a26fc680e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-30T08:05:22Z",
    "title_canon_sha256": "b044295c6df46c522dd4e980deee33cb60b3cc07e6bb6ae8f49c87590d1f72e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09067",
    "kind": "arxiv",
    "version": 3
  }
}