Pith Number

pith:VC6NWAA7

pith:2015:VC6NWAA7QBTNFAKWOOUFQ5OYD3

not attested not anchored not stored refs pending

Classical Boltzmann equation and high-temperature QED

F. T. Brandt, J. F. Thuorst, R. B. Ferreira

arxiv:1501.00469 v4 · 2015-01-02 · hep-th · 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{VC6NWAA7QBTNFAKWOOUFQ5OYD3}

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	2026-05-18T02:25:48.722127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8bcdb001f8066d2815673a85875d81ecfc5c8541871dbbc88c7af165e5ae09d

Aliases

arxiv: 1501.00469 · arxiv_version: 1501.00469v4 · doi: 10.48550/arxiv.1501.00469 · pith_short_12: VC6NWAA7QBTN · pith_short_16: VC6NWAA7QBTNFAKW · pith_short_8: VC6NWAA7

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/VC6NWAA7QBTNFAKWOOUFQ5OYD3 \
  | 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: a8bcdb001f8066d2815673a85875d81ecfc5c8541871dbbc88c7af165e5ae09d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60973a5760aaf8f6377f145606e092f37ca3270fba25fdb57172221f90d40a8e",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-02T20:00:12Z",
    "title_canon_sha256": "13106bcfe40af3c85616a97e25dd97db704ac1abc95695b1139fbb5b5f5788e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00469",
    "kind": "arxiv",
    "version": 4
  }
}