Pith Number

pith:KBXA3GSG

pith:2015:KBXA3GSG62OVJZGLB2HNHZ5LWX

not attested not anchored not stored refs pending

Sampling colorings almost uniformly in sparse random graphs

Chihao Zhang, Yitong Yin

arxiv:1503.03351 v2 · 2015-03-11 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBXA3GSG62OVJZGLB2HNHZ5LWX}

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	2026-05-18T01:36:13.457333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506e0d9a46f69d54e4cb0e8ed3e7abb5c0f12f93188a3e9d0be401363e9a8d66

Aliases

arxiv: 1503.03351 · arxiv_version: 1503.03351v2 · doi: 10.48550/arxiv.1503.03351 · pith_short_12: KBXA3GSG62OV · pith_short_16: KBXA3GSG62OVJZGL · pith_short_8: KBXA3GSG

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/KBXA3GSG62OVJZGLB2HNHZ5LWX \
  | 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: 506e0d9a46f69d54e4cb0e8ed3e7abb5c0f12f93188a3e9d0be401363e9a8d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42106de6b0087d6569aa468bd5a10ea421798082653338673590ae8b0c90272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-03-11T14:31:49Z",
    "title_canon_sha256": "bc6c13eb669abaa3f7dd721631bf4f502c54f73b7a82ea248081ddb5e97bb231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03351",
    "kind": "arxiv",
    "version": 2
  }
}