Pith Number

pith:MJ3JCU3H

pith:1999:MJ3JCU3H357ICCXWOEZYYCUKIQ

not attested not anchored not stored refs pending

Langevin Interpretation of Kadanoff-Baym Equations

C. Greiner, S. Leupold

arxiv:hep-ph/9912229 v1 · 1999-12-03 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ3JCU3H357ICCXWOEZYYCUKIQ}

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	2026-05-18T00:36:53.998436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6276915367df7e810af671338c0a8a441dcc91c74379d9917bc6f0e1bdb28069

Aliases

arxiv: hep-ph/9912229 · arxiv_version: hep-ph/9912229v1 · doi: 10.48550/arxiv.hep-ph/9912229 · pith_short_12: MJ3JCU3H357I · pith_short_16: MJ3JCU3H357ICCXW · pith_short_8: MJ3JCU3H

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/MJ3JCU3H357ICCXWOEZYYCUKIQ \
  | 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: 6276915367df7e810af671338c0a8a441dcc91c74379d9917bc6f0e1bdb28069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4a82de1595898651c97960bed2589c9d157b6103110ca364fcaae26b6a2dc7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-12-03T12:11:59Z",
    "title_canon_sha256": "d803e0eeaca0774c430dd62ae25b30b7a203f4ebe2acae70fbac040ff7cfe6a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9912229",
    "kind": "arxiv",
    "version": 1
  }
}