Pith Number

pith:BIPFAASV

pith:2018:BIPFAASVZKZBBFHJ4PLKFHQEGV

not attested not anchored not stored refs pending

A fast algorithm for calculating $s$-invariants

Dirk Schuetz

arxiv:1811.06432 v1 · 2018-11-15 · math.GT · 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{BIPFAASVZKZBBFHJ4PLKFHQEGV}

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	2026-05-18T00:00:37.693752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a1e500255cab21094e9e3d6a29e04354bb617b15d7a3f38606511812bd55630

Aliases

arxiv: 1811.06432 · arxiv_version: 1811.06432v1 · doi: 10.48550/arxiv.1811.06432 · pith_short_12: BIPFAASVZKZB · pith_short_16: BIPFAASVZKZBBFHJ · pith_short_8: BIPFAASV

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/BIPFAASVZKZBBFHJ4PLKFHQEGV \
  | 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: 0a1e500255cab21094e9e3d6a29e04354bb617b15d7a3f38606511812bd55630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bff075a36eb1abebfd4f607b45c786e333bd4fd9440be46389ac607d464a49",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-15T15:38:21Z",
    "title_canon_sha256": "db4b5a5bf32127f68660241a82ac1daca7dd4d0b2fea5da0076d0fa0840c4619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06432",
    "kind": "arxiv",
    "version": 1
  }
}