Pith Number

pith:643IKEGH

pith:2026:643IKEGHXSG2RKBMARJU4JR6PZ

not attested not anchored not stored refs pending

Quantum Colorings of Spheres

Olivier Lalonde

arxiv:2606.10872 v1 · 2026-06-09 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{643IKEGHXSG2RKBMARJU4JR6PZ}

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	2026-06-10T01:10:44.850063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7368510c7bc8da8a82c04534e263e7e599626f9f49fed227e930ce0dc566422

Aliases

arxiv: 2606.10872 · arxiv_version: 2606.10872v1 · doi: 10.48550/arxiv.2606.10872 · pith_short_12: 643IKEGHXSG2 · pith_short_16: 643IKEGHXSG2RKBM · pith_short_8: 643IKEGH

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/643IKEGHXSG2RKBMARJU4JR6PZ \
  | 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: f7368510c7bc8da8a82c04534e263e7e599626f9f49fed227e930ce0dc566422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f0d397f8638e56b243c83d9f8ed3c7ca71321a88f8b55d84110f1d1f28aa15",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-09T13:49:08Z",
    "title_canon_sha256": "957ceae361ce95ba222d28f66e0afdfdef525aa7f58885e8949884d48f83d217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10872",
    "kind": "arxiv",
    "version": 1
  }
}