Pith Number

pith:JMOIFEZX

pith:2011:JMOIFEZXFWDBOXV5727EQEFA7S

not attested not anchored not stored refs pending

Bogoliubov theory and bosonic atoms

Phan Thanh Nam

arxiv:1109.2875 v1 · 2011-09-13 · 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{JMOIFEZXFWDBOXV5727EQEFA7S}

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	2026-05-18T04:13:07.508427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1c8293372d86175ebdfebe4810a0fcaa7295e35f46cc0288111384a04bcc70

Aliases

arxiv: 1109.2875 · arxiv_version: 1109.2875v1 · doi: 10.48550/arxiv.1109.2875 · pith_short_12: JMOIFEZXFWDB · pith_short_16: JMOIFEZXFWDBOXV5 · pith_short_8: JMOIFEZX

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/JMOIFEZXFWDBOXV5727EQEFA7S \
  | 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: 4b1c8293372d86175ebdfebe4810a0fcaa7295e35f46cc0288111384a04bcc70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8a946a85b1333b865abea83eb0503ddbd3ba31a2631496c34e6fa08b936fb7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-13T18:24:10Z",
    "title_canon_sha256": "a3147c2283ed6a07a91121046a75d71109d4bfc6816de61146902fbd0a6db479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2875",
    "kind": "arxiv",
    "version": 1
  }
}