Pith Number

pith:5MEGQ7TU

pith:2018:5MEGQ7TUVJFCWVR5TFX2YQH5Z6

not attested not anchored not stored refs pending

Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants

Francesco Lin, Ian Agol

arxiv:1812.06536 v1 · 2018-12-16 · 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{5MEGQ7TUVJFCWVR5TFX2YQH5Z6}

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	2026-05-17T23:58:09.972938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a

Aliases

arxiv: 1812.06536 · arxiv_version: 1812.06536v1 · doi: 10.48550/arxiv.1812.06536 · pith_short_12: 5MEGQ7TUVJFC · pith_short_16: 5MEGQ7TUVJFCWVR5 · pith_short_8: 5MEGQ7TU

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/5MEGQ7TUVJFCWVR5TFX2YQH5Z6 \
  | 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: eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daef7cb7294d2c40305e892fa09839e308893b3b63e1ea9e1ab0d3ae28f858cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-16T21:06:05Z",
    "title_canon_sha256": "5ab94ec69e186e4698119726cdcdff3fc3463fde52c4988b62c2c1dd0f91deaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06536",
    "kind": "arxiv",
    "version": 1
  }
}