Pith Number

pith:CE2JS4PC

pith:2012:CE2JS4PCY336ULLVVIMIZAR2MA

not attested not anchored not stored refs pending

$\delta_k$-small sets in graphs

Asen Bojilov, Nedyalko Nenov

arxiv:1211.3689 v1 · 2012-11-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CE2JS4PCY336ULLVVIMIZAR2MA}

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	2026-05-18T03:40:39.055563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11349971e2c6f7ea2d75aa188c823a601cd3ea4305a16134b57904808e4b94f4

Aliases

arxiv: 1211.3689 · arxiv_version: 1211.3689v1 · doi: 10.48550/arxiv.1211.3689 · pith_short_12: CE2JS4PCY336 · pith_short_16: CE2JS4PCY336ULLV · pith_short_8: CE2JS4PC

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/CE2JS4PCY336ULLVVIMIZAR2MA \
  | 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: 11349971e2c6f7ea2d75aa188c823a601cd3ea4305a16134b57904808e4b94f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716528e5a5de212fc6b8d0e583b73abbea3e83c09e1c2607114780d46cee07b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-15T18:25:28Z",
    "title_canon_sha256": "8591fd624a24a3b76a4aec31b13710634c5153b429d4b89f7aab52e8a5cf0128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3689",
    "kind": "arxiv",
    "version": 1
  }
}