Pith Number

pith:U7NWXINM

pith:2012:U7NWXINMZWUNY56GGXSWFRXNL2

not attested not anchored not stored refs pending

Additivity of the Gerlits--Nagy property and concentrated sets

Boaz Tsaban, Lyubomyr Zdomskyy

arxiv:1205.6824 v1 · 2012-05-30 · math.GN · math.CO · 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{U7NWXINMZWUNY56GGXSWFRXNL2}

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	2026-05-18T03:54:36.827634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7db6ba1accda8dc77c635e562c6ed5ead4076d438c8a4b59fcdff14ca10a214

Aliases

arxiv: 1205.6824 · arxiv_version: 1205.6824v1 · doi: 10.48550/arxiv.1205.6824 · pith_short_12: U7NWXINMZWUN · pith_short_16: U7NWXINMZWUNY56G · pith_short_8: U7NWXINM

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/U7NWXINMZWUNY56GGXSWFRXNL2 \
  | 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: a7db6ba1accda8dc77c635e562c6ed5ead4076d438c8a4b59fcdff14ca10a214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f323b372b28e905b196996b54afcf8e01e22fc8e1a58c9f6482c6a672b2680d",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-05-30T20:22:38Z",
    "title_canon_sha256": "12c6fa6758a82861cb3ce46f5f1ef25dfa2f455ded8fbfc18180f1c1d66b24fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6824",
    "kind": "arxiv",
    "version": 1
  }
}