Pith Number

pith:XAPHPPPA

pith:2018:XAPHPPPALELPTAOGC45XVTHJPC

not attested not anchored not stored refs pending

Short proof of two cases of Chv\'atal's conjecture

Francisco Santos, Jonathan Spreer, Jorge Olarte

arxiv:1804.03646 v2 · 2018-04-10 · 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{XAPHPPPALELPTAOGC45XVTHJPC}

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	2026-05-17T23:44:32.598631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81e77bde05916f981c6173b7acce97896cfc9776a1676135f7a46e59b5614cb

Aliases

arxiv: 1804.03646 · arxiv_version: 1804.03646v2 · doi: 10.48550/arxiv.1804.03646 · pith_short_12: XAPHPPPALELP · pith_short_16: XAPHPPPALELPTAOG · pith_short_8: XAPHPPPA

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/XAPHPPPALELPTAOGC45XVTHJPC \
  | 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: b81e77bde05916f981c6173b7acce97896cfc9776a1676135f7a46e59b5614cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbbfaa1ed7353e77e54a240ea9ff99a793294a1a5a22b0ca7402a7fb52ba4c6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-10T17:49:56Z",
    "title_canon_sha256": "b4ca2d757bc26db9e8435ce325639b8b48bdec372d35e98e7cfaa4eb67d8fa33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03646",
    "kind": "arxiv",
    "version": 2
  }
}