Pith Number

pith:MWJDPAM4

pith:2002:MWJDPAM4JLJ5NQNWEPMMFWTBXB

not attested not anchored not stored refs pending

Sources of sub-GZK cosmic rays

I. Tkachev, P. Tinyakov

arxiv:hep-ph/0212223 v1 · 2002-12-16 · hep-ph · astro-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{MWJDPAM4JLJ5NQNWEPMMFWTBXB}

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	2026-07-04T14:28:31.896591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659237819c4ad3d6c1b623d8c2da61b859664026230c421f8f020ad02bb92c1d

Aliases

arxiv: hep-ph/0212223 · arxiv_version: hep-ph/0212223v1 · doi: 10.48550/arxiv.hep-ph/0212223 · pith_short_12: MWJDPAM4JLJ5 · pith_short_16: MWJDPAM4JLJ5NQNW · pith_short_8: MWJDPAM4

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/MWJDPAM4JLJ5NQNWEPMMFWTBXB \
  | 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: 659237819c4ad3d6c1b623d8c2da61b859664026230c421f8f020ad02bb92c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e293c8f1bff15d16fa61338d8494d865bb3b651f49f69c0482482bb1a63dd9a",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-16T13:46:38Z",
    "title_canon_sha256": "60ed5594efdf63b357d4d1110e35478d211cfefadd29f3ae4f2db0d7a1af1998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212223",
    "kind": "arxiv",
    "version": 1
  }
}