Pith Number

pith:MQQJNW7J

pith:2007:MQQJNW7JZXXVAFH7QHQ4J6PWKL

not attested not anchored not stored refs pending

On the Thermal Symmetry of the Markovian Master Equation

B. A. Tay, T. Petrosky

arxiv:0705.3278 v3 · 2007-05-23 · 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{MQQJNW7JZXXVAFH7QHQ4J6PWKL}

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	2026-05-18T03:50:11.267565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642096dbe9cdef5014ff81e1c4f9f652e6998bb14976d0495f1f90801a322a5d

Aliases

arxiv: 0705.3278 · arxiv_version: 0705.3278v3 · doi: 10.48550/arxiv.0705.3278 · pith_short_12: MQQJNW7JZXXV · pith_short_16: MQQJNW7JZXXVAFH7 · pith_short_8: MQQJNW7J

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/MQQJNW7JZXXVAFH7QHQ4J6PWKL \
  | 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: 642096dbe9cdef5014ff81e1c4f9f652e6998bb14976d0495f1f90801a322a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb0d5ce1d224bd835915b6080bf79ad29d842069d27bd70db1c1faf4dad729a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-05-23T02:40:16Z",
    "title_canon_sha256": "81e8f3ad77232f97e4c5415ad280197ca7fd0d197d8c0aef8d5a0ca8dddb4b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3278",
    "kind": "arxiv",
    "version": 3
  }
}