Pith Number

pith:INTB5N4H

pith:2014:INTB5N4HHNHQVMJNT7ALTPW2XP

not attested not anchored not stored refs pending

Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases

Ewa Maksymiuk, Wojciech Florkowski

arxiv:1411.3666 v3 · 2014-11-13 · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INTB5N4HHNHQVMJNT7ALTPW2XP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:26:52.700661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43661eb7873b4f0ab12d9fc0b9bedabbd9e74e003617aeb7efbcad274b1a34f8

Aliases

arxiv: 1411.3666 · arxiv_version: 1411.3666v3 · doi: 10.48550/arxiv.1411.3666 · pith_short_12: INTB5N4HHNHQ · pith_short_16: INTB5N4HHNHQVMJN · pith_short_8: INTB5N4H

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/INTB5N4HHNHQVMJNT7ALTPW2XP \
  | 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: 43661eb7873b4f0ab12d9fc0b9bedabbd9e74e003617aeb7efbcad274b1a34f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd26322aed170788ccbaf5182f203c8bd3ae065668a8e6fa3f3d09b295453c95",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-11-13T19:08:50Z",
    "title_canon_sha256": "fb75adb7dd9b80fc0d6a52832407f54a5a059adcef429d9b15366142d73e4889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3666",
    "kind": "arxiv",
    "version": 3
  }
}