Pith Number

pith:M3F66E4F

pith:2010:M3F66E4FVLMRWAHREIVX35NCJZ

not attested not anchored not stored refs pending

The Leading Behaviour of The Ground-State Energy of Heavy Ions According to Brown and Ravenhall

Xiao Liu

arxiv:1008.2120 v3 · 2010-08-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3F66E4FVLMRWAHREIVX35NCJZ}

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	2026-05-18T04:19:43.703197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66cbef1385aad91b00f1222b7df5a24e6e63ac6440f02c2f66dd44e0b5d185f0

Aliases

arxiv: 1008.2120 · arxiv_version: 1008.2120v3 · doi: 10.48550/arxiv.1008.2120 · pith_short_12: M3F66E4FVLMR · pith_short_16: M3F66E4FVLMRWAHR · pith_short_8: M3F66E4F

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/M3F66E4FVLMRWAHREIVX35NCJZ \
  | 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: 66cbef1385aad91b00f1222b7df5a24e6e63ac6440f02c2f66dd44e0b5d185f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d873f8a4fc5117c7eb6d3427351c8e3e3aa58be4eff50ee716e408bfbe4f833",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-12T14:37:36Z",
    "title_canon_sha256": "65dc0ab2114d17aac6fa960ec5ff957cd9f697b9cd2c064a6593e01892bac259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2120",
    "kind": "arxiv",
    "version": 3
  }
}