Pith Number

pith:4ZHSD3MP

pith:2018:4ZHSD3MP65IEAVHNGC6PADGC7C

not attested not anchored not stored refs pending

Linking between singular locus and regular fibers

Osamu Saeki

arxiv:1804.00359 v1 · 2018-04-02 · 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{4ZHSD3MP65IEAVHNGC6PADGC7C}

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	2026-05-18T00:19:37.514006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64f21ed8ff7504054ed30bcf00cc2f8ba581c0d7195375dd1889d08843471e3

Aliases

arxiv: 1804.00359 · arxiv_version: 1804.00359v1 · doi: 10.48550/arxiv.1804.00359 · pith_short_12: 4ZHSD3MP65IE · pith_short_16: 4ZHSD3MP65IEAVHN · pith_short_8: 4ZHSD3MP

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/4ZHSD3MP65IEAVHNGC6PADGC7C \
  | 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: e64f21ed8ff7504054ed30bcf00cc2f8ba581c0d7195375dd1889d08843471e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36ca5ab4b5f972e4fbce5f5ce4062b169f76539e3b15311ca8afe695fa9212c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-02T00:01:01Z",
    "title_canon_sha256": "44796f463c56616c048fe2b438ff5eb3a3e7e9176490af743a838bda8ad01663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00359",
    "kind": "arxiv",
    "version": 1
  }
}