Pith Number

pith:HHJ65I2D

pith:2009:HHJ65I2DOHENTPAPQ2W5PUKUZY

not attested not anchored not stored refs pending

Dynamical phase transition for a quantum particle source

Herbert Spohn (Technische Universit\"at M\"unchen), Maximilian Butz

arxiv:0908.2912 v2 · 2009-08-20 · math-ph · math.FA · 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{HHJ65I2DOHENTPAPQ2W5PUKUZY}

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	2026-05-18T02:12:24.795357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d3eea34371c8d9bc0f86add7d154ce0429142de02db12b04a167288945cb72

Aliases

arxiv: 0908.2912 · arxiv_version: 0908.2912v2 · doi: 10.48550/arxiv.0908.2912 · pith_short_12: HHJ65I2DOHEN · pith_short_16: HHJ65I2DOHENTPAP · pith_short_8: HHJ65I2D

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/HHJ65I2DOHENTPAPQ2W5PUKUZY \
  | 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: 39d3eea34371c8d9bc0f86add7d154ce0429142de02db12b04a167288945cb72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc800990a4ca95e0389acaf3024b4244ec69bf9feb09787efb85bb9f2acdc9c4",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-20T12:04:36Z",
    "title_canon_sha256": "3e73aa3ffd49bb68902182a265114be54efc259592ba32337ff11bd8c20fa0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2912",
    "kind": "arxiv",
    "version": 2
  }
}