Pith Number

pith:5MUJCUAB

pith:2011:5MUJCUABL52PPBGCOFPL4SHSTX

not attested not anchored not stored refs pending

Transition states and the critical parameters of central potentials

Evgeny Z. Liverts, Nir Barnea

arxiv:1104.3680 v3 · 2011-04-19 · quant-ph · math-ph · math.MP · physics.atom-ph · physics.comp-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{5MUJCUABL52PPBGCOFPL4SHSTX}

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	2026-05-18T02:02:22.957857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb289150015f74f784c2715ebe48f29dc0cbe3c9136ab779f5283146633b1b20

Aliases

arxiv: 1104.3680 · arxiv_version: 1104.3680v3 · doi: 10.48550/arxiv.1104.3680 · pith_short_12: 5MUJCUABL52P · pith_short_16: 5MUJCUABL52PPBGC · pith_short_8: 5MUJCUAB

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/5MUJCUABL52PPBGCOFPL4SHSTX \
  | 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: eb289150015f74f784c2715ebe48f29dc0cbe3c9136ab779f5283146633b1b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dc227c064f4dad286b6718c25cb73328d0855b2d5d7bc6a8814026b1dcac91",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atom-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-19T08:57:12Z",
    "title_canon_sha256": "1bad0f16b50a672d742f5134a1b17f6a8fe4cbbc6dcc469dec7000c265bb8337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3680",
    "kind": "arxiv",
    "version": 3
  }
}