Pith Number

pith:36BC52EL

pith:2013:36BC52ELDKDCCSKJNKN3EQTKAQ

not attested not anchored not stored refs pending

Evasive Properties of Sparse Graphs and Some Linear Equations in Primes

Igor Shparlinski

arxiv:1304.0188 v3 · 2013-03-31 · cs.CC · 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{36BC52ELDKDCCSKJNKN3EQTKAQ}

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	2026-05-18T03:29:04.985252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df822ee88b1a862149496a9bb2426a0433d8b622d764367e87bac504d134c4e7

Aliases

arxiv: 1304.0188 · arxiv_version: 1304.0188v3 · doi: 10.48550/arxiv.1304.0188 · pith_short_12: 36BC52ELDKDC · pith_short_16: 36BC52ELDKDCCSKJ · pith_short_8: 36BC52EL

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/36BC52ELDKDCCSKJNKN3EQTKAQ \
  | 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: df822ee88b1a862149496a9bb2426a0433d8b622d764367e87bac504d134c4e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188d29a6ecd437aaa94592b4a1b3180493e9790484ddddf007113bf9f6dfbb6a",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-03-31T11:16:11Z",
    "title_canon_sha256": "cb6c8951c53266b61023b797003389e93002c741092bfc0c5db1f71b12cda73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0188",
    "kind": "arxiv",
    "version": 3
  }
}