Pith Number

pith:FVJXLH7E

pith:2013:FVJXLH7E77XTNXVQJULTLTA74C

not attested not anchored not stored refs pending

Applications of pcf for mild large cardinals to elementary embeddings

Moti Gitik, Saharon Shelah

arxiv:1307.5977 v1 · 2013-07-23 · 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{FVJXLH7E77XTNXVQJULTLTA74C}

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	2026-05-18T03:17:45.617761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d53759fe4ffef36deb04d1735cc1fe0a41f662d99474abbdf462ceec123ad73

Aliases

arxiv: 1307.5977 · arxiv_version: 1307.5977v1 · doi: 10.48550/arxiv.1307.5977 · pith_short_12: FVJXLH7E77XT · pith_short_16: FVJXLH7E77XTNXVQ · pith_short_8: FVJXLH7E

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/FVJXLH7E77XTNXVQJULTLTA74C \
  | 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: 2d53759fe4ffef36deb04d1735cc1fe0a41f662d99474abbdf462ceec123ad73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c95f72bcbe92a9f762792c5c952325677cce54085d4d3d4e90413ccc39a3e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-07-23T08:47:54Z",
    "title_canon_sha256": "ca7138302bfb75bfa9271765ad775c1489ef8e8082082354be259bcc27b59d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5977",
    "kind": "arxiv",
    "version": 1
  }
}