Pith Number

pith:LAKO74WO

pith:2018:LAKO74WOXAHVBXYD6FCTIAWC57

not attested not anchored not stored refs pending

Trivalent expanders, $(\Delta-Y)$-transformation, and hyperbolic surfaces

Alina Vdovina, Ioannis Ivrissimtzis, Norbert Peyerimhoff

arxiv:1810.05532 v1 · 2018-10-11 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAKO74WOXAHVBXYD6FCTIAWC57}

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	2026-05-18T00:03:30.146620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5814eff2ceb80f50df03f1453402c2efc1a8af0f062b2c53c022739c8e5a9067

Aliases

arxiv: 1810.05532 · arxiv_version: 1810.05532v1 · doi: 10.48550/arxiv.1810.05532 · pith_short_12: LAKO74WOXAHV · pith_short_16: LAKO74WOXAHVBXYD · pith_short_8: LAKO74WO

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/LAKO74WOXAHVBXYD6FCTIAWC57 \
  | 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: 5814eff2ceb80f50df03f1453402c2efc1a8af0f062b2c53c022739c8e5a9067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5690e893e7e5de5a51a711e7469bf3432f1e229e3d5068764db6c3e5d63585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-11T09:38:20Z",
    "title_canon_sha256": "2af2df6173b7e5724e391e26aedc60d0c75b5303190b975875ce0129c1d55a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05532",
    "kind": "arxiv",
    "version": 1
  }
}