Pith Number

pith:JE43AUPC

pith:2011:JE43AUPC4RBQF2RWSMHQYBBOR6

not attested not anchored not stored refs pending

Dehn surgeries and negative-definite four-manifolds

Brendan Owens, Saso Strle

arxiv:1108.4869 v1 · 2011-08-24 · 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{JE43AUPC4RBQF2RWSMHQYBBOR6}

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	2026-05-18T04:14:46.606569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4939b051e2e44302ea36930f0c042e8f9be0d205d378e6c9f5617a7bec4c5bdb

Aliases

arxiv: 1108.4869 · arxiv_version: 1108.4869v1 · doi: 10.48550/arxiv.1108.4869 · pith_short_12: JE43AUPC4RBQ · pith_short_16: JE43AUPC4RBQF2RW · pith_short_8: JE43AUPC

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/JE43AUPC4RBQF2RWSMHQYBBOR6 \
  | 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: 4939b051e2e44302ea36930f0c042e8f9be0d205d378e6c9f5617a7bec4c5bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8e28262699c95d5fbb33421039934af4f9e3f74e98fdffeabb178b3f9d34a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-24T15:56:06Z",
    "title_canon_sha256": "ba4a9c6628aecb322776ddcc0b14dce706d713e72b3af592aefc1dabc9f2615f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4869",
    "kind": "arxiv",
    "version": 1
  }
}