Pith Number

pith:E2TXJCQF

pith:2015:E2TXJCQFF2JORF5WD6ZALJT36A

not attested not anchored not stored refs pending

Average coherence and its typicality for random pure states

Arun Kumar Pati, Lin Zhang, Uttam Singh

arxiv:1509.08939 v2 · 2015-09-29 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2TXJCQFF2JORF5WD6ZALJT36A}

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	2026-05-18T01:18:09.437151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a7748a052e92e897b61fb205a67bf01b8116df2d65b468a52e11703bce5050

Aliases

arxiv: 1509.08939 · arxiv_version: 1509.08939v2 · doi: 10.48550/arxiv.1509.08939 · pith_short_12: E2TXJCQFF2JO · pith_short_16: E2TXJCQFF2JORF5W · pith_short_8: E2TXJCQF

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/E2TXJCQFF2JORF5WD6ZALJT36A \
  | 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: 26a7748a052e92e897b61fb205a67bf01b8116df2d65b468a52e11703bce5050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a979325791cc001973852aa49c724f087dde9d11c65bc7f237e5a219bb24fbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-09-29T20:16:38Z",
    "title_canon_sha256": "cd7694e6b5986adf7bb85c6ee60b814bbb8df90930540c11d01849a715444b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08939",
    "kind": "arxiv",
    "version": 2
  }
}