Pith Number

pith:2NUL4ATP

pith:2013:2NUL4ATPUXISEEJEKH5BXWBKD3

not attested not anchored not stored refs pending

The Bethe Logarithm for resonant states. Antiprotonic helium

Vladimir I. Korobov

arxiv:1312.4299 v1 · 2013-12-16 · physics.atom-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{2NUL4ATPUXISEEJEKH5BXWBKD3}

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	2026-05-18T02:59:33.998220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d368be026fa5d122112451fa1bd82a1ece75df20f4fef306d557634e6dd605de

Aliases

arxiv: 1312.4299 · arxiv_version: 1312.4299v1 · doi: 10.48550/arxiv.1312.4299 · pith_short_12: 2NUL4ATPUXIS · pith_short_16: 2NUL4ATPUXISEEJE · pith_short_8: 2NUL4ATP

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/2NUL4ATPUXISEEJEKH5BXWBKD3 \
  | 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: d368be026fa5d122112451fa1bd82a1ece75df20f4fef306d557634e6dd605de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3e3d223aea69321841d81479f7efe085c766a597412095894b2f891fcaa3f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2013-12-16T10:38:18Z",
    "title_canon_sha256": "02dedc21d6c7624dae15f53b4ffae848b86f63ca3c331e1d8e6582f8bc2f1a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4299",
    "kind": "arxiv",
    "version": 1
  }
}