Pith Number

pith:4AKHSWE4

pith:2012:4AKHSWE4LJFP6ERW4C5Q346HPE

not attested not anchored not stored refs pending

Blowup alternative for Gross-Pitaevskii hierarchies

Chengjun He, Chuangye Liu, Zeqian Chen

arxiv:1203.4411 v1 · 2012-03-20 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AKHSWE4LJFP6ERW4C5Q346HPE}

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	2026-05-18T01:25:24.958614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01479589c5a4aff1236e0bb0df3c7790777579c4cf52dfca69ea976c01afcef

Aliases

arxiv: 1203.4411 · arxiv_version: 1203.4411v1 · doi: 10.48550/arxiv.1203.4411 · pith_short_12: 4AKHSWE4LJFP · pith_short_16: 4AKHSWE4LJFP6ERW · pith_short_8: 4AKHSWE4

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/4AKHSWE4LJFP6ERW4C5Q346HPE \
  | 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: e01479589c5a4aff1236e0bb0df3c7790777579c4cf52dfca69ea976c01afcef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d5d8465103049108233cb11febf67e027128b8124f35ead507a8bf28991f13",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-20T12:43:15Z",
    "title_canon_sha256": "a1c9f57a067cbeb1439939cf0fdbf9ef9eb73a0db5a717a29fdf4b8c9376fb7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4411",
    "kind": "arxiv",
    "version": 1
  }
}