Pith Number

pith:PNIEHMN6

pith:2011:PNIEHMN6SP2GN4JT5IZ2IDFA5L

not attested not anchored not stored refs pending

Chain conditions in dependent groups

Itay Kaplan, Saharon Shelah

arxiv:1112.0807 v2 · 2011-12-04 · 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{PNIEHMN6SP2GN4JT5IZ2IDFA5L}

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	2026-05-18T04:02:39.225970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5043b1be93f466f133ea33a40ca0eafdd148ee37aa5bfef9a6b6a20884e7f3

Aliases

arxiv: 1112.0807 · arxiv_version: 1112.0807v2 · doi: 10.48550/arxiv.1112.0807 · pith_short_12: PNIEHMN6SP2G · pith_short_16: PNIEHMN6SP2GN4JT · pith_short_8: PNIEHMN6

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/PNIEHMN6SP2GN4JT5IZ2IDFA5L \
  | 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: 7b5043b1be93f466f133ea33a40ca0eafdd148ee37aa5bfef9a6b6a20884e7f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e639858654e8058f3a4cff12ba4dda1b4452b7f7d6f6621cc67588adc40cf93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-04T23:00:02Z",
    "title_canon_sha256": "1ef6cc8a071c7e9f2dfb82d9de612a0e88d36d79edca86c966eba2d9b5ef5b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0807",
    "kind": "arxiv",
    "version": 2
  }
}