Pith Number

pith:RSEJXGMU

pith:2018:RSEJXGMUPDSRJUY7SQSJBTQTE6

not attested not anchored not stored refs pending

Certifying a compact topological 4-manifold

Daniele Zuddas, Michael Freedman

arxiv:1810.05988 v1 · 2018-10-14 · 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{RSEJXGMUPDSRJUY7SQSJBTQTE6}

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	2026-07-05T01:24:14.390721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c889b999478e514d31f942490ce13278059ae30a939ac2b12aba583c6e68513

Aliases

arxiv: 1810.05988 · arxiv_version: 1810.05988v1 · doi: 10.48550/arxiv.1810.05988 · pith_short_12: RSEJXGMUPDSR · pith_short_16: RSEJXGMUPDSRJUY7 · pith_short_8: RSEJXGMU

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/RSEJXGMUPDSRJUY7SQSJBTQTE6 \
  | 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: 8c889b999478e514d31f942490ce13278059ae30a939ac2b12aba583c6e68513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1adbdf258808ec63bdd3248577b725d2b47a3e222c39caea2191962d8e024ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-14T07:47:57Z",
    "title_canon_sha256": "cd84aa3d0499aa292447ccdd545b1f72089254df0aa2d6e525d5e08a340b6a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05988",
    "kind": "arxiv",
    "version": 1
  }
}