Pith Number

pith:J5FDBOD7

pith:2018:J5FDBOD7CVHZILEDK37ZCWG7HD

not attested not anchored not stored refs pending

Simply-connected, spineless 4-manifolds

Adam Simon Levine, Tye Lidman

arxiv:1803.01765 v1 · 2018-03-05 · 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{J5FDBOD7CVHZILEDK37ZCWG7HD}

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	2026-05-18T00:21:59.649764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4a30b87f154f942c8356ff9158df38fbc8e125a2750c28bec7d5de0d71d336

Aliases

arxiv: 1803.01765 · arxiv_version: 1803.01765v1 · doi: 10.48550/arxiv.1803.01765 · pith_short_12: J5FDBOD7CVHZ · pith_short_16: J5FDBOD7CVHZILED · pith_short_8: J5FDBOD7

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/J5FDBOD7CVHZILEDK37ZCWG7HD \
  | 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: 4f4a30b87f154f942c8356ff9158df38fbc8e125a2750c28bec7d5de0d71d336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db8c321e87e2f00a46b95067535188685979e95198f4f40e38bbeb30b59de38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-05T16:42:35Z",
    "title_canon_sha256": "f84b720b9ebd7181d0832f0d649f1219710face025f601e69222f6dd4592fe61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01765",
    "kind": "arxiv",
    "version": 1
  }
}