Pith Number

pith:TE4UBOS3

pith:2013:TE4UBOS3P7ELBKYTOBVRMPQQYH

not attested not anchored not stored refs pending

Positional strategies in long Ehrenfeucht-Fraiss\'e games

Boban Velickovic, Jouko V\"a\"an\"anen, Saharon Shelah

arxiv:1308.0156 v1 · 2013-08-01 · 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{TE4UBOS3P7ELBKYTOBVRMPQQYH}

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	2026-05-18T03:16:59.681636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

993940ba5b7fc8b0ab13706b163e10c1dd6ef76995385389c5bb05a10a196599

Aliases

arxiv: 1308.0156 · arxiv_version: 1308.0156v1 · doi: 10.48550/arxiv.1308.0156 · pith_short_12: TE4UBOS3P7EL · pith_short_16: TE4UBOS3P7ELBKYT · pith_short_8: TE4UBOS3

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/TE4UBOS3P7ELBKYTOBVRMPQQYH \
  | 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: 993940ba5b7fc8b0ab13706b163e10c1dd6ef76995385389c5bb05a10a196599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5396379745e0e78a148bff168bfefd945f9d76d56867099cd4f8d72d2e83a5cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-01T11:31:20Z",
    "title_canon_sha256": "8760c66ddf7d31e85fc22357a77143eb38f17bc52941ca794727e1ba514587e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0156",
    "kind": "arxiv",
    "version": 1
  }
}