Pith Number

pith:4CMCTWTO

pith:2013:4CMCTWTOJDFEC5D2XE6DSKMMPF

not attested not anchored not stored refs pending

Quantum chromatic numbers via operator systems

Ivan G. Todorov, Vern I. Paulsen

arxiv:1311.6850 v1 · 2013-11-26 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CMCTWTOJDFEC5D2XE6DSKMMPF}

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	2026-05-18T03:06:05.350494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09829da6e48ca41747ab93c39298c7952c89afe752f7468dfa1860195078ecd

Aliases

arxiv: 1311.6850 · arxiv_version: 1311.6850v1 · doi: 10.48550/arxiv.1311.6850 · pith_short_12: 4CMCTWTOJDFE · pith_short_16: 4CMCTWTOJDFEC5D2 · pith_short_8: 4CMCTWTO

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/4CMCTWTOJDFEC5D2XE6DSKMMPF \
  | 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: e09829da6e48ca41747ab93c39298c7952c89afe752f7468dfa1860195078ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53f0a3edfe13753a804b67946292eeb34be2c6520ad28243122e3eb8db14ab5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-26T23:38:30Z",
    "title_canon_sha256": "5b46d2a530d4db607b6ea5bfd5d6bcfa66c4c07af9473e940adbe3bdd9ad6f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6850",
    "kind": "arxiv",
    "version": 1
  }
}