Pith Number

pith:IYPVNE6F

pith:2017:IYPVNE6F7JWSUOKIRF3AGWIB65

not attested not anchored not stored refs pending

Lower bounds for the measurable chromatic number of the hyperbolic plane

Evan DeCorte, Konstantin Golubev

arxiv:1708.01081 v1 · 2017-08-03 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYPVNE6F7JWSUOKIRF3AGWIB65}

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	2026-05-17T23:44:32.967902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461f5693c5fa6d2a39488976035901f7589deaf4687312b8650773f08b4326de

Aliases

arxiv: 1708.01081 · arxiv_version: 1708.01081v1 · doi: 10.48550/arxiv.1708.01081 · pith_short_12: IYPVNE6F7JWS · pith_short_16: IYPVNE6F7JWSUOKI · pith_short_8: IYPVNE6F

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/IYPVNE6F7JWSUOKIRF3AGWIB65 \
  | 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: 461f5693c5fa6d2a39488976035901f7589deaf4687312b8650773f08b4326de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98113959e8fae322da5302975e68fe925c6f6541f1e3ec416c90b55ba5c42c50",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-03T09:53:14Z",
    "title_canon_sha256": "4b45ec1fe34d040d5b93d79b290ace83c1868ffa1617f99e3e30b32890501ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01081",
    "kind": "arxiv",
    "version": 1
  }
}