Pith Number

pith:PTRVEHXF

pith:2016:PTRVEHXFLO4ESHXTOGVE35KFDG

not attested not anchored not stored refs pending

Shelah-Villaveces revisited

Monica M. VanDieren, Sebastien Vasey, Will Boney

arxiv:1611.05292 v2 · 2016-11-16 · 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{PTRVEHXFLO4ESHXTOGVE35KFDG}

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	2026-05-18T00:49:31.736864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce3521ee55bb8491ef371aa4df54519ae4ef1dd7b9679c00cfb82682784623c

Aliases

arxiv: 1611.05292 · arxiv_version: 1611.05292v2 · doi: 10.48550/arxiv.1611.05292 · pith_short_12: PTRVEHXFLO4E · pith_short_16: PTRVEHXFLO4ESHXT · pith_short_8: PTRVEHXF

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/PTRVEHXFLO4ESHXTOGVE35KFDG \
  | 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: 7ce3521ee55bb8491ef371aa4df54519ae4ef1dd7b9679c00cfb82682784623c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918555f570905a0eea20aa284c11ad8f5c3c670c2837f669d56352658885ce38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-11-16T14:38:48Z",
    "title_canon_sha256": "840c892135fb4c8288b2c72341e38f0bab2271ea910e1ac42589feb08ff0b256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05292",
    "kind": "arxiv",
    "version": 2
  }
}