Pith Number

pith:LP5E4JBI

pith:2020:LP5E4JBI5KVFNUJPICEBWJTYJN

not attested not anchored not stored refs pending

Trisections of non-orientable 4-manifolds

Maggie Miller, Patrick Naylor

arxiv:2010.07433 v1 · 2020-10-14 · 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{LP5E4JBI5KVFNUJPICEBWJTYJN}

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.

Cited by

1 paper in Pith

Minimal genus trisection diagrams of the elliptic surfaces $E(n)$ via handle diagrams

Receipt and verification

First computed	2026-07-05T01:43:07.007451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfa4e2428eaaa56d12f40881b26784b7eb03949222029f2a3a6683b5b2c355a

Aliases

arxiv: 2010.07433 · arxiv_version: 2010.07433v1 · doi: 10.48550/arxiv.2010.07433 · pith_short_12: LP5E4JBI5KVF · pith_short_16: LP5E4JBI5KVFNUJP · pith_short_8: LP5E4JBI

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/LP5E4JBI5KVFNUJPICEBWJTYJN \
  | 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: 5bfa4e2428eaaa56d12f40881b26784b7eb03949222029f2a3a6683b5b2c355a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b7e963c656a738ae6910adc0f3b79688eb667ff80041fdee3b38c604c9291a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-10-14T23:22:21Z",
    "title_canon_sha256": "5566977aab44b005d98a2f78790427e44eff6da4c70079b1df6631f91a458406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07433",
    "kind": "arxiv",
    "version": 1
  }
}