Pith Number

pith:SRKHSDSP

pith:2012:SRKHSDSP32GEIHBQA3Y4QZ3P2O

not attested not anchored not stored refs pending

On the decay of crossing numbers of sparse graphs

Gelasio Salazar, Jesus Leanos, Jozsef Balogh

arxiv:1203.0510 v1 · 2012-03-02 · 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{SRKHSDSP32GEIHBQA3Y4QZ3P2O}

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	2026-05-18T04:01:00.527255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9454790e4fde8c441c3006f1c8676fd39793847b4bac35fc192fa49f96556496

Aliases

arxiv: 1203.0510 · arxiv_version: 1203.0510v1 · doi: 10.48550/arxiv.1203.0510 · pith_short_12: SRKHSDSP32GE · pith_short_16: SRKHSDSP32GEIHBQ · pith_short_8: SRKHSDSP

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/SRKHSDSP32GEIHBQA3Y4QZ3P2O \
  | 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: 9454790e4fde8c441c3006f1c8676fd39793847b4bac35fc192fa49f96556496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "266e56d72813d35388aaafb4c40ca1339bee63bb6b87794d8c40814141c6058e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-02T16:21:32Z",
    "title_canon_sha256": "1f9e74524c74df57040e557029161778a03d894543faea4c6804b9585e64a351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0510",
    "kind": "arxiv",
    "version": 1
  }
}