Pith Number

pith:SIB6HLVX

pith:2014:SIB6HLVX6MVIME56YV6U6HLQBB

not attested not anchored not stored refs pending

Absolutely exotic compact 4-manifolds

Daniel Ruberman, Selman Akbulut

arxiv:1410.1461 v3 · 2014-10-06 · 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{SIB6HLVX6MVIME56YV6U6HLQBB}

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	2026-05-18T02:31:31.044384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9203e3aeb7f32a8613bec57d4f1d700870b1fabdc13400d1fe438bc5206294d9

Aliases

arxiv: 1410.1461 · arxiv_version: 1410.1461v3 · doi: 10.48550/arxiv.1410.1461 · pith_short_12: SIB6HLVX6MVI · pith_short_16: SIB6HLVX6MVIME56 · pith_short_8: SIB6HLVX

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/SIB6HLVX6MVIME56YV6U6HLQBB \
  | 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: 9203e3aeb7f32a8613bec57d4f1d700870b1fabdc13400d1fe438bc5206294d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c420117ba30b68a113c7085a37c92571db32693c180b5c10496370d53f7c95c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-06T17:08:45Z",
    "title_canon_sha256": "df37a9cd8f91d91cf5bb11ea8611acd8d03457fa9f258d20fc73c73e28e659a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1461",
    "kind": "arxiv",
    "version": 3
  }
}