Pith Number

pith:NJNS6DAA

pith:2011:NJNS6DAA7JY73Q4WT7C7MJSKMH

not attested not anchored not stored refs pending

On Sums of Generating Sets in (Z_2)^n

Chaim Even-Zohar

arxiv:1108.4902 v2 · 2011-08-24 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJNS6DAA7JY73Q4WT7C7MJSKMH}

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	2026-05-18T01:35:28.456139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a5b2f0c00fa71fdc3969fc5f6264a61c0ecee3f2bf4a2298ecde5d062226667

Aliases

arxiv: 1108.4902 · arxiv_version: 1108.4902v2 · doi: 10.48550/arxiv.1108.4902 · pith_short_12: NJNS6DAA7JY7 · pith_short_16: NJNS6DAA7JY73Q4W · pith_short_8: NJNS6DAA

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/NJNS6DAA7JY73Q4WT7C7MJSKMH \
  | 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: 6a5b2f0c00fa71fdc3969fc5f6264a61c0ecee3f2bf4a2298ecde5d062226667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e923ccc729687f9da6c0b23557de4400c1ef0a3505017ab79ec388bc8a714e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-24T18:18:32Z",
    "title_canon_sha256": "d6a0d4bac34020b2d48a01a179f65fc1db4b7e59a4bf8a4d66299af4efe40223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4902",
    "kind": "arxiv",
    "version": 2
  }
}