Pith Number

pith:BRVUQL6X

pith:2017:BRVUQL6XC3TTABE7TPPHETPMLM

not attested not anchored not stored refs pending

Maximizing and minimizing the number of generalized colorings of trees

Christopher Stocker, John Engbers

arxiv:1707.03910 v2 · 2017-07-12 · 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{BRVUQL6XC3TTABE7TPPHETPMLM}

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	2026-05-17T23:58:08.798923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6b482fd716e730049f9bde724dec5b0638d13eca08d520be40abc2ab5d4a25

Aliases

arxiv: 1707.03910 · arxiv_version: 1707.03910v2 · doi: 10.48550/arxiv.1707.03910 · pith_short_12: BRVUQL6XC3TT · pith_short_16: BRVUQL6XC3TTABE7 · pith_short_8: BRVUQL6X

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/BRVUQL6XC3TTABE7TPPHETPMLM \
  | 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: 0c6b482fd716e730049f9bde724dec5b0638d13eca08d520be40abc2ab5d4a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06126d4e764c4274be2932c61987555a2d63f31afd3202644ed7bd4a3ac4301b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-12T21:04:03Z",
    "title_canon_sha256": "fddd03c121410a5a207da86748d385ef09fa8003b73ee74925c955076b457eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03910",
    "kind": "arxiv",
    "version": 2
  }
}