Pith Number

pith:O5X25HAE

pith:2015:O5X25HAEDLIWRAUL6ZCUIPHYOH

not attested not anchored not stored refs pending

Tree-chromatic number is not equal to path-chromatic number

Ringi Kim, Tony Huynh

arxiv:1505.06234 v3 · 2015-05-22 · 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{O5X25HAEDLIWRAUL6ZCUIPHYOH}

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	2026-05-18T00:54:15.909016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776fae9c041ad168828bf645443cf871dcf6d07000baf601d859f61867078f57

Aliases

arxiv: 1505.06234 · arxiv_version: 1505.06234v3 · doi: 10.48550/arxiv.1505.06234 · pith_short_12: O5X25HAEDLIW · pith_short_16: O5X25HAEDLIWRAUL · pith_short_8: O5X25HAE

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/O5X25HAEDLIWRAUL6ZCUIPHYOH \
  | 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: 776fae9c041ad168828bf645443cf871dcf6d07000baf601d859f61867078f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6287965df7856e1802df804467f16442115bd3005e6194c54fe80292817445d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-22T21:55:20Z",
    "title_canon_sha256": "742f98ca5f472c3773bacd935c13cb13ef4e0052c309c123dc56c0321c7c3a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06234",
    "kind": "arxiv",
    "version": 3
  }
}