Pith Number

pith:SWY4SPVM

pith:2010:SWY4SPVMUGD27YHZZNQP22CDYZ

not attested not anchored not stored refs pending

Round handles, logarithmic transforms, and smooth 4-manifolds

Nathan Sunukjian, R. Inanc Baykur

arxiv:1009.0514 v3 · 2010-09-02 · 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{SWY4SPVMUGD27YHZZNQP22CDYZ}

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	2026-05-18T02:58:01.849338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b1c93eaca187afe0f9cb60fd6843c66f2ce8c5e106fb01f6b863072a0fab2c

Aliases

arxiv: 1009.0514 · arxiv_version: 1009.0514v3 · doi: 10.48550/arxiv.1009.0514 · pith_short_12: SWY4SPVMUGD2 · pith_short_16: SWY4SPVMUGD27YHZ · pith_short_8: SWY4SPVM

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/SWY4SPVMUGD27YHZZNQP22CDYZ \
  | 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: 95b1c93eaca187afe0f9cb60fd6843c66f2ce8c5e106fb01f6b863072a0fab2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adfc22abcfcf4af5cb08ebd647a306d513bad06a1767f77efe2761135445743b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-02T19:35:22Z",
    "title_canon_sha256": "e38422d019c43a2a2bd6a2b475607822dc5641e9a577b17800c7136bfd9b513f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0514",
    "kind": "arxiv",
    "version": 3
  }
}