Pith Number

pith:3DHUYG43

pith:2018:3DHUYG43VQ2ATQDTZEXJPCIB6C

not attested not anchored not stored refs pending

Four-manifolds with shadow-complexity one

Bruno Martelli, Hironobu Naoe, Yuya Koda

arxiv:1803.06713 v3 · 2018-03-18 · 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{3DHUYG43VQ2ATQDTZEXJPCIB6C}

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	2026-05-18T00:10:46.626473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8cf4c1b9bac3409c073c92e978901f0bd87512da558359003569cdf238f4cea

Aliases

arxiv: 1803.06713 · arxiv_version: 1803.06713v3 · doi: 10.48550/arxiv.1803.06713 · pith_short_12: 3DHUYG43VQ2A · pith_short_16: 3DHUYG43VQ2ATQDT · pith_short_8: 3DHUYG43

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/3DHUYG43VQ2ATQDTZEXJPCIB6C \
  | 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: d8cf4c1b9bac3409c073c92e978901f0bd87512da558359003569cdf238f4cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d5991c0ffc097bf57e5d70b3a1a7b6efff2b3f1aff704a3c29af98437806d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-18T18:54:26Z",
    "title_canon_sha256": "b921ede486293f88f9114d7731e5db616b8e493f58f694051c31a3f8b2858ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06713",
    "kind": "arxiv",
    "version": 3
  }
}