Pith Number

pith:HD74C5BK

pith:2015:HD74C5BKVYKHIGUR474MOK3EQ7

not attested not anchored not stored refs pending

Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications

Osamu Saeki, Takahiro Yamamoto

arxiv:1509.05848 v1 · 2015-09-19 · 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{HD74C5BKVYKHIGUR474MOK3EQ7}

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	2026-05-18T01:10:52.395305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ffc1742aae14741a91e7f8c72b6487d5ec8916b2f09c1b14ddb2ef99381f0c

Aliases

arxiv: 1509.05848 · arxiv_version: 1509.05848v1 · doi: 10.48550/arxiv.1509.05848 · pith_short_12: HD74C5BKVYKH · pith_short_16: HD74C5BKVYKHIGUR · pith_short_8: HD74C5BK

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/HD74C5BKVYKHIGUR474MOK3EQ7 \
  | 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: 38ffc1742aae14741a91e7f8c72b6487d5ec8916b2f09c1b14ddb2ef99381f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e345297a7f989aa0e30f944215f2c36afbb79b4df659af35e71ebdd5a00867aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-19T05:40:12Z",
    "title_canon_sha256": "eafd41c104f08029a4071f005f3b9fbede0cebfd69e167962e006acf5aca8535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05848",
    "kind": "arxiv",
    "version": 1
  }
}