Pith Number

pith:OX3BNSN7

pith:2013:OX3BNSN75N2IHPOKFYB457WONI

not attested not anchored not stored refs pending

Homology classes of negative square and embedded surfaces in 4-manifolds

M. J. D. Hamilton

arxiv:1301.3733 v2 · 2013-01-16 · 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{OX3BNSN75N2IHPOKFYB457WONI}

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	2026-05-17T23:52:19.468151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f616c9bfeb7483bdca2e03cefece6a17a665625c7759bfb1e134df9c643c5d

Aliases

arxiv: 1301.3733 · arxiv_version: 1301.3733v2 · doi: 10.48550/arxiv.1301.3733 · pith_short_12: OX3BNSN75N2I · pith_short_16: OX3BNSN75N2IHPOK · pith_short_8: OX3BNSN7

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/OX3BNSN75N2IHPOKFYB457WONI \
  | 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: 75f616c9bfeb7483bdca2e03cefece6a17a665625c7759bfb1e134df9c643c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68cecaea2c4c0c4c58eb56db33ef0cec87cf5858e9b026065847705881fbd87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-16T15:54:43Z",
    "title_canon_sha256": "7579f67dc0f809a88f1df541e6a05e05d336debf754ee777d75f8191e0e0548a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3733",
    "kind": "arxiv",
    "version": 2
  }
}