Pith Number

pith:Q5SXLR2I

pith:2011:Q5SXLR2I2TYGSWP7IDQDLNMDQ5

not attested not anchored not stored refs pending

Grey subsets of Polish spaces

Ita\"i Ben Yaacov (ICJ), Julien Melleray (ICJ)

arxiv:1103.2762 v3 · 2011-03-14 · 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{Q5SXLR2I2TYGSWP7IDQDLNMDQ5}

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	2026-05-18T02:22:19.247043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876575c748d4f06959ff40e035b583875aab2ae433d777396a9cb6c98fd2bea8

Aliases

arxiv: 1103.2762 · arxiv_version: 1103.2762v3 · doi: 10.48550/arxiv.1103.2762 · pith_short_12: Q5SXLR2I2TYG · pith_short_16: Q5SXLR2I2TYGSWP7 · pith_short_8: Q5SXLR2I

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/Q5SXLR2I2TYGSWP7IDQDLNMDQ5 \
  | 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: 876575c748d4f06959ff40e035b583875aab2ae433d777396a9cb6c98fd2bea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0ba96252518329a63a08df6bddacc05b05e55a3739dd4cbe202ac0a10d2e7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-03-14T19:54:42Z",
    "title_canon_sha256": "18586c36729744f1e57e387a8c2c418a07c1857df0cdd0e312b2e1caaf31e365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2762",
    "kind": "arxiv",
    "version": 3
  }
}