Pith Number

pith:7MNQWRU3

pith:2009:7MNQWRU34WXDB7VJJFSVKT7O3N

not attested not anchored not stored refs pending

Second-order corrections to mean field evolution for weakly interacting Bosons. I

Dionisios Margetis, Manoussos G. Grillakis, Matei Machedon

arxiv:0904.0158 v2 · 2009-04-01 · math-ph · math.AP · 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{7MNQWRU34WXDB7VJJFSVKT7O3N}

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	2026-05-18T01:32:01.780458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1b0b469be5ae30fea94965554feedb47dfdec43558d95661c0a7fe6f25bb81

Aliases

arxiv: 0904.0158 · arxiv_version: 0904.0158v2 · doi: 10.48550/arxiv.0904.0158 · pith_short_12: 7MNQWRU34WXD · pith_short_16: 7MNQWRU34WXDB7VJ · pith_short_8: 7MNQWRU3

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/7MNQWRU34WXDB7VJJFSVKT7O3N \
  | 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: fb1b0b469be5ae30fea94965554feedb47dfdec43558d95661c0a7fe6f25bb81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b7bb35ced52e4b2dfd2fa3b4c159c830db48930c815268d5561df7fead69ce9",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-01T13:30:43Z",
    "title_canon_sha256": "dcde4397630ecb91a05b57cd436f7790420663bd47b0d29113f453d149c93539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0158",
    "kind": "arxiv",
    "version": 2
  }
}