Pith Number

pith:PINMDJIT

pith:2013:PINMDJITQMA6MQ3MSG7ABAKD63

not attested not anchored not stored refs pending

Koppe's Work of 1948: A fundamental for non-equilibrium rate of particle production

Abdel Nasser Tawfik (Egyptian Ctr. Theor. Phys., Cairo, Cairo), WLCAPP

arxiv:1312.1968 v1 · 2013-12-06 · nucl-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{PINMDJITQMA6MQ3MSG7ABAKD63}

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	2026-05-18T02:56:18.915791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1ac1a5138301e6436c91be008143f6de89d70f22674428b17a342931fbe6a9

Aliases

arxiv: 1312.1968 · arxiv_version: 1312.1968v1 · doi: 10.48550/arxiv.1312.1968 · pith_short_12: PINMDJITQMA6 · pith_short_16: PINMDJITQMA6MQ3M · pith_short_8: PINMDJIT

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/PINMDJITQMA6MQ3MSG7ABAKD63 \
  | 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: 7a1ac1a5138301e6436c91be008143f6de89d70f22674428b17a342931fbe6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35828fae16445e5c97f750e64a7111e73ea658f3adfb96ce60ed3745f77bda27",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2013-12-06T19:16:52Z",
    "title_canon_sha256": "25087babe98cc56188d423e004dcdf33428d64f34c54fd57613ce458006b8c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1968",
    "kind": "arxiv",
    "version": 1
  }
}