Pith Number

pith:2YOZK56H

pith:1999:2YOZK56H5MGNPI45GGWR2I2GL6

not attested not anchored not stored refs pending

Time evolution of correlation functions and thermalization

Christof Wetterich, Gian Franco Bonini

arxiv:hep-ph/9907533 v1 · 1999-07-28 · 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{2YOZK56H5MGNPI45GGWR2I2GL6}

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	2026-05-18T01:08:00.421645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61d9577c7eb0cd7a39d31ad1d23465f8d86402c64eae4cb76c0533a4f0aeb70

Aliases

arxiv: hep-ph/9907533 · arxiv_version: hep-ph/9907533v1 · doi: 10.48550/arxiv.hep-ph/9907533 · pith_short_12: 2YOZK56H5MGN · pith_short_16: 2YOZK56H5MGNPI45 · pith_short_8: 2YOZK56H

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/2YOZK56H5MGNPI45GGWR2I2GL6 \
  | 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: d61d9577c7eb0cd7a39d31ad1d23465f8d86402c64eae4cb76c0533a4f0aeb70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7edfcf8f39a52da04716c3247e6d976f4caf27147731282aca82fa877eb05a2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-07-28T13:43:55Z",
    "title_canon_sha256": "50f7b1e2be4ce83acaccf9114343f6056d8bacc5ef4255d89f45a57d7afcaddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9907533",
    "kind": "arxiv",
    "version": 1
  }
}