Pith Number

pith:6FVPPG6L

pith:2016:6FVPPG6L2P3DIQVBUYOTAW2L4C

not attested not anchored not stored refs pending

Embedding 3-manifolds in spin 4-manifolds

Kyle Larson, Marco Golla, Paolo Aceto

arxiv:1607.06388 v2 · 2016-07-21 · 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{6FVPPG6L2P3DIQVBUYOTAW2L4C}

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	2026-05-17T23:53:01.636597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16af79bcbd3f63442a1a61d305b4be091c5a5a41a37a544fdda22cd68415305

Aliases

arxiv: 1607.06388 · arxiv_version: 1607.06388v2 · doi: 10.48550/arxiv.1607.06388 · pith_short_12: 6FVPPG6L2P3D · pith_short_16: 6FVPPG6L2P3DIQVB · pith_short_8: 6FVPPG6L

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/6FVPPG6L2P3DIQVBUYOTAW2L4C \
  | 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: f16af79bcbd3f63442a1a61d305b4be091c5a5a41a37a544fdda22cd68415305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528f4232730c7791d930212a0eec7a5d9c9a62ddb59aefd38b5ce91ed2b0fa5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-21T16:47:04Z",
    "title_canon_sha256": "a19470d2128dc84eaab6ccfda821d73c3026e629a9065eabe4c3c168056f4cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06388",
    "kind": "arxiv",
    "version": 2
  }
}