Pith Number

pith:SMO6MFMR

pith:2018:SMO6MFMR3DDOJRLQVQANUQGK4V

not attested not anchored not stored refs pending

Lattices and correction terms

Kyle Larson

arxiv:1807.05098 v2 · 2018-07-13 · 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{SMO6MFMR3DDOJRLQVQANUQGK4V}

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	2026-05-17T23:52:59.047094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931de61591d8c6e4c570ac00da40cae551caa2f77570f12f2a1c9cd55cec751d

Aliases

arxiv: 1807.05098 · arxiv_version: 1807.05098v2 · doi: 10.48550/arxiv.1807.05098 · pith_short_12: SMO6MFMR3DDO · pith_short_16: SMO6MFMR3DDOJRLQ · pith_short_8: SMO6MFMR

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/SMO6MFMR3DDOJRLQVQANUQGK4V \
  | 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: 931de61591d8c6e4c570ac00da40cae551caa2f77570f12f2a1c9cd55cec751d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e458eb3d361241f30fc74503f5559c96308a74dbc45f2187404fa0f036283af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-13T14:14:33Z",
    "title_canon_sha256": "8afceccfc0a299c658b75308c1ed87a314fc96afcf11d20ede525643378513ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05098",
    "kind": "arxiv",
    "version": 2
  }
}