Pith Number

pith:PHERBM75

pith:2013:PHERBM75PRRWNNA4RG6HCSPYEA

not attested not anchored not stored refs pending

Existence of ground states for negative ions at the binding threshold

Elliott H. Lieb, Jacopo Bellazzini, Robert Seiringer, Rupert L. Frank

arxiv:1301.5370 v1 · 2013-01-23 · math-ph · math.AP · math.MP · math.SP · 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{PHERBM75PRRWNNA4RG6HCSPYEA}

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	2026-05-18T02:58:32.709882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c910b3fd7c6366b41c89bc7149f8201615259f4860fb563ee9f4b549d14861

Aliases

arxiv: 1301.5370 · arxiv_version: 1301.5370v1 · doi: 10.48550/arxiv.1301.5370 · pith_short_12: PHERBM75PRRW · pith_short_16: PHERBM75PRRWNNA4 · pith_short_8: PHERBM75

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/PHERBM75PRRWNNA4RG6HCSPYEA \
  | 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: 79c910b3fd7c6366b41c89bc7149f8201615259f4860fb563ee9f4b549d14861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0b56379386441b39a59d1aa9d92a0ca5b5bf8bf2ec8cb5cb70d65aaebcd84e",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-23T01:04:32Z",
    "title_canon_sha256": "bf95fa7774e1344e57d1a4361cba2024e0017d6bed79f9e73b4e731fb954508e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5370",
    "kind": "arxiv",
    "version": 1
  }
}