Pith Number

pith:FNEMEBOF

pith:2011:FNEMEBOFOLZTVPIA2UJ6PIE2YB

not attested not anchored not stored refs pending

On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime

Olof Sisask, Pablo Candela

arxiv:1109.2934 v1 · 2011-09-13 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNEMEBOFOLZTVPIA2UJ6PIE2YB}

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	2026-05-18T04:13:06.683976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b48c205c572f33abd00d513e7a09ac04b5dca9748bbf6088140e6c4a91dd2d4

Aliases

arxiv: 1109.2934 · arxiv_version: 1109.2934v1 · doi: 10.48550/arxiv.1109.2934 · pith_short_12: FNEMEBOFOLZT · pith_short_16: FNEMEBOFOLZTVPIA · pith_short_8: FNEMEBOF

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/FNEMEBOFOLZTVPIA2UJ6PIE2YB \
  | 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: 2b48c205c572f33abd00d513e7a09ac04b5dca9748bbf6088140e6c4a91dd2d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5baa29ed9e3b6b9a297cc91ddcdeb74ab43cbc7a8056b2ff99fe9af14fbfc492",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-13T21:17:23Z",
    "title_canon_sha256": "44f0e2ddcb98baa1fef023dd3a2411ee92be758ad9c4d2110bcc9f3f89786a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2934",
    "kind": "arxiv",
    "version": 1
  }
}