Pith Number

pith:IFKLTMB4

pith:2015:IFKLTMB4FLZFTCXRR7GSDJLO5W

not attested not anchored not stored refs pending

Set mappings on 4-tuples

Saharon Shelah, Shahram Mohsenipour

arxiv:1510.02216 v2 · 2015-10-08 · 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{IFKLTMB4FLZFTCXRR7GSDJLO5W}

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	2026-05-18T00:08:11.586218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4154b9b03c2af2598af18fcd21a56eed89bd75382029870a0440d03a11e5fcd7

Aliases

arxiv: 1510.02216 · arxiv_version: 1510.02216v2 · doi: 10.48550/arxiv.1510.02216 · pith_short_12: IFKLTMB4FLZF · pith_short_16: IFKLTMB4FLZFTCXR · pith_short_8: IFKLTMB4

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/IFKLTMB4FLZFTCXRR7GSDJLO5W \
  | 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: 4154b9b03c2af2598af18fcd21a56eed89bd75382029870a0440d03a11e5fcd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014c61eaff8131b2e00dfa5f3be6ea6ea7bfdc8e83886d804a08dc52bbf95011",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-08T07:51:49Z",
    "title_canon_sha256": "efaa9864697eaae0bd7db929257edca438f6ecc8702afd3f42ae349a1ee2fad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02216",
    "kind": "arxiv",
    "version": 2
  }
}