Pith Number

pith:7LP67PZ5

pith:2012:7LP67PZ5MISCJ7PVA46YGZ4L4U

not attested not anchored not stored refs pending

Saturating the random graph with an independent family of small range

M. Malliaris, S. Shelah

arxiv:1208.5585 v1 · 2012-08-28 · 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{7LP67PZ5MISCJ7PVA46YGZ4L4U}

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	2026-05-18T03:46:58.293362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fadfefbf3d622424fdf5073d83678be5254242f642de39693a941fd196d4cdb9

Aliases

arxiv: 1208.5585 · arxiv_version: 1208.5585v1 · doi: 10.48550/arxiv.1208.5585 · pith_short_12: 7LP67PZ5MISC · pith_short_16: 7LP67PZ5MISCJ7PV · pith_short_8: 7LP67PZ5

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/7LP67PZ5MISCJ7PVA46YGZ4L4U \
  | 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: fadfefbf3d622424fdf5073d83678be5254242f642de39693a941fd196d4cdb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99878e78154513b19dfcd3b94ad7840b7e1e5c9421ec98855c122a376403cb36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-28T08:15:22Z",
    "title_canon_sha256": "02b159b1bfe9ddee74aff1aa024e216b18463955ef6c6cb3e5a476e0da955f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5585",
    "kind": "arxiv",
    "version": 1
  }
}