Pith Number

pith:TIFMKLRQ

pith:2016:TIFMKLRQ3M7GUZOYEBDLNERZBZ

not attested not anchored not stored refs pending

Problems 85 and 87 of Birkhoff's "Lattice theory"

Dominic van der Zypen, Jonathan David Farley

arxiv:1610.01760 v1 · 2016-10-06 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIFMKLRQ3M7GUZOYEBDLNERZBZ}

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	2026-05-18T01:03:04.946873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0ac52e30db3e6a65d82046b692390e62d2d8699d4415e48e796d878a1629ec

Aliases

arxiv: 1610.01760 · arxiv_version: 1610.01760v1 · doi: 10.48550/arxiv.1610.01760 · pith_short_12: TIFMKLRQ3M7G · pith_short_16: TIFMKLRQ3M7GUZOY · pith_short_8: TIFMKLRQ

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/TIFMKLRQ3M7GUZOYEBDLNERZBZ \
  | 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: 9a0ac52e30db3e6a65d82046b692390e62d2d8699d4415e48e796d878a1629ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e16407e2d7afde5cacfc44e1ee60c9cdbf5d3ba9823791308d7fa09784c7ad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-06T07:28:28Z",
    "title_canon_sha256": "c28a008d237d6d2718e0e7c02ac9521c1dd56a56919cd083d32cadeaafcfb193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01760",
    "kind": "arxiv",
    "version": 1
  }
}