Pith Number

pith:YCOWJCRS

pith:2014:YCOWJCRSWPQWBVHMCXJURWORKI

not attested not anchored not stored refs pending

The simplex of tracial quantum symmetric states

Kenneth J. Dykema, Kunal Mukherjee, Yoann Dabrowski

arxiv:1401.4692 v2 · 2014-01-19 · 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{YCOWJCRSWPQWBVHMCXJURWORKI}

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	2026-05-18T02:39:17.308412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09d648a32b3e160d4ec15d348d9d1520f62a204565d18bb2f6eac65ef8c1660

Aliases

arxiv: 1401.4692 · arxiv_version: 1401.4692v2 · doi: 10.48550/arxiv.1401.4692 · pith_short_12: YCOWJCRSWPQW · pith_short_16: YCOWJCRSWPQWBVHM · pith_short_8: YCOWJCRS

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/YCOWJCRSWPQWBVHMCXJURWORKI \
  | 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: c09d648a32b3e160d4ec15d348d9d1520f62a204565d18bb2f6eac65ef8c1660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd43cda67d9e3ea5b86ba1677374dec0de15e0abdac552c5df553cf6da1a2e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-19T16:25:52Z",
    "title_canon_sha256": "ba48cbd25c6084713dda09ebf7178d3f59d489a812c02f925c248781003f7bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4692",
    "kind": "arxiv",
    "version": 2
  }
}