Pith Number

pith:KMHCY3GF

pith:2016:KMHCY3GFAJWGWVLREM4KCTR3JQ

not attested not anchored not stored refs pending

Genus-minimal crystallizations of PL 4-manifolds

Biplab Basak

arxiv:1606.07196 v3 · 2016-06-23 · 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{KMHCY3GFAJWGWVLREM4KCTR3JQ}

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	2026-05-18T00:23:46.149409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530e2c6cc5026c6b55712338a14e3b4c30920b199cf4a46e5c84db729489dc4c

Aliases

arxiv: 1606.07196 · arxiv_version: 1606.07196v3 · doi: 10.48550/arxiv.1606.07196 · pith_short_12: KMHCY3GFAJWG · pith_short_16: KMHCY3GFAJWGWVLR · pith_short_8: KMHCY3GF

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/KMHCY3GFAJWGWVLREM4KCTR3JQ \
  | 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: 530e2c6cc5026c6b55712338a14e3b4c30920b199cf4a46e5c84db729489dc4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf331bef1139c1c1e4a2498c754f99f7f0e1a9398895b3e3f0e878a5264adf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-23T06:04:02Z",
    "title_canon_sha256": "2d74db0d38160a7d75c76fe4f11252a81dbac1ee2e881dff8303fb1dbbd7ee6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07196",
    "kind": "arxiv",
    "version": 3
  }
}