Pith Number

pith:YAK64PVO

pith:2006:YAK64PVOG7H3HGBIMMPWXRTJ5T

not attested not anchored not stored refs pending

Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics

Christian Hainzl, Eric Sere, Mathieu Lewin

arxiv:math-ph/0606001 v2 · 2006-05-31 · 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{YAK64PVOG7H3HGBIMMPWXRTJ5T}

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	2026-07-05T07:01:23.065193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c015ee3eae37cfb39828631f6bc669ecfa79d5ec50b9cf175199ce5b58565205

Aliases

arxiv: math-ph/0606001 · arxiv_version: math-ph/0606001v2 · doi: 10.48550/arxiv.math-ph/0606001 · pith_short_12: YAK64PVOG7H3 · pith_short_16: YAK64PVOG7H3HGBI · pith_short_8: YAK64PVO

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/YAK64PVOG7H3HGBIMMPWXRTJ5T \
  | 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: c015ee3eae37cfb39828631f6bc669ecfa79d5ec50b9cf175199ce5b58565205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4d8383f080ba1ca6a0660f6b59658f927368de9ef28a12f560299d39920269",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-05-31T20:32:06Z",
    "title_canon_sha256": "205b5865ee41c30d6870e885073f3a1ec91c861186059aa7ca1d690abce5081c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0606001",
    "kind": "arxiv",
    "version": 2
  }
}