Pith Number

pith:3F7ZSGOV

pith:2013:3F7ZSGOVIMTQM3E2OX5TDOBCOY

not attested not anchored not stored refs pending

Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery

Nathan Sunukjian

arxiv:1305.6542 v1 · 2013-05-28 · 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{3F7ZSGOVIMTQM3E2OX5TDOBCOY}

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	2026-05-18T03:24:40.493909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3

Aliases

arxiv: 1305.6542 · arxiv_version: 1305.6542v1 · doi: 10.48550/arxiv.1305.6542 · pith_short_12: 3F7ZSGOVIMTQ · pith_short_16: 3F7ZSGOVIMTQM3E2 · pith_short_8: 3F7ZSGOV

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/3F7ZSGOVIMTQM3E2OX5TDOBCOY \
  | 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: d97f9919d54327066c9a75fb31b82276211519bd5b1c6601aa55c85b5c7264c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43136642d3683174bee0e29d6cba83f1d24d04aa06063bdbe1686a2e370a24c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-28T15:49:51Z",
    "title_canon_sha256": "c3a60a402a8e57d4c230d21bf17411d41113780723024bc88952b155957dcb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6542",
    "kind": "arxiv",
    "version": 1
  }
}