Pith Number

pith:UGX6FOWF

pith:2011:UGX6FOWF2ZAGHQCKCF3W6EWOLB

not attested not anchored not stored refs pending

Energy Cost to Make a Hole in the Fermi Sea

Elliott H. Lieb, Mathieu Lewin, Robert Seiringer, Rupert L. Frank

arxiv:1102.1414 v2 · 2011-02-07 · cond-mat.str-el · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGX6FOWF2ZAGHQCKCF3W6EWOLB}

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	2026-05-18T04:24:34.974701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1afe2bac5d64063c04a11776f12ce5842208534857b318144ec67e3763120af

Aliases

arxiv: 1102.1414 · arxiv_version: 1102.1414v2 · doi: 10.48550/arxiv.1102.1414 · pith_short_12: UGX6FOWF2ZAG · pith_short_16: UGX6FOWF2ZAGHQCK · pith_short_8: UGX6FOWF

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/UGX6FOWF2ZAGHQCKCF3W6EWOLB \
  | 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: a1afe2bac5d64063c04a11776f12ce5842208534857b318144ec67e3763120af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bedaca988928aac5c7bf865799c44431e62c3ed690954a1411a9db34b46d642",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-02-07T20:53:52Z",
    "title_canon_sha256": "e9f94bbb6ef666fc10e8d67066edf62d4f13be2b551228394031b13c77af9471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1414",
    "kind": "arxiv",
    "version": 2
  }
}