Pith Number

pith:TURGTDL6

pith:2015:TURGTDL6Y72CC3P2OWI3I6XJ72

not attested not anchored not stored refs pending

Markov constant and quantum instabilities

Edita Pelantov\'a, Miloslav Znojil, \v{S}t\v{e}p\'an Starosta

arxiv:1510.02407 v3 · 2015-10-08 · 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{TURGTDL6Y72CC3P2OWI3I6XJ72}

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	2026-05-18T00:45:08.584890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d22698d7ec7f4216dfa7591b47ae9fea4536c11cb6a34c650cea16d89d24f78

Aliases

arxiv: 1510.02407 · arxiv_version: 1510.02407v3 · doi: 10.48550/arxiv.1510.02407 · pith_short_12: TURGTDL6Y72C · pith_short_16: TURGTDL6Y72CC3P2 · pith_short_8: TURGTDL6

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/TURGTDL6Y72CC3P2OWI3I6XJ72 \
  | 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: 9d22698d7ec7f4216dfa7591b47ae9fea4536c11cb6a34c650cea16d89d24f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef3c839cc7c406dbfa69553c544c6d0b589d1a3d5c1b542d865b8f97d432d14",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-08T17:12:41Z",
    "title_canon_sha256": "09baecaf79b9034739d94a717171c4b2a1649e4818f6fc34952df84e605fc7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02407",
    "kind": "arxiv",
    "version": 3
  }
}