Pith Number

pith:B5DDEUJC

pith:2016:B5DDEUJCHWWDPVAIEH4IPYZH6J

not attested not anchored not stored refs pending

On the mean field approximation of many-boson dynamics

Quentin Liard

arxiv:1609.06254 v2 · 2016-09-20 · 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{B5DDEUJCHWWDPVAIEH4IPYZH6J}

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	2026-05-18T00:53:07.444907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f463251223dac37d40821f887e327f241a21be64b1d3d40d43743771517f709

Aliases

arxiv: 1609.06254 · arxiv_version: 1609.06254v2 · doi: 10.48550/arxiv.1609.06254 · pith_short_12: B5DDEUJCHWWD · pith_short_16: B5DDEUJCHWWDPVAI · pith_short_8: B5DDEUJC

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/B5DDEUJCHWWDPVAIEH4IPYZH6J \
  | 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: 0f463251223dac37d40821f887e327f241a21be64b1d3d40d43743771517f709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d04fd946caaa056ea857c9d55a1a5598acd0ba937dc48420a15c7e81ebdade01",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-20T17:01:47Z",
    "title_canon_sha256": "a5d73b46457638641bc249758c326f2b7b52b4c2b47225817415526d3cec39e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06254",
    "kind": "arxiv",
    "version": 2
  }
}