Pith Number

pith:HGNSBS5Q

pith:2011:HGNSBS5QKTL4LV5YYYV6SE5PEZ

not attested not anchored not stored refs pending

Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy

Nata\v{s}a Pavlovi\'c, Nikolaos Tzirakis, Thomas Chen

arxiv:1111.2325 v2 · 2011-11-09 · 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{HGNSBS5QKTL4LV5YYYV6SE5PEZ}

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	2026-05-18T01:09:07.420351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

399b20cbb054d7c5d7b8c62be913af2657ce2a201c95f89138654bb0672a46d4

Aliases

arxiv: 1111.2325 · arxiv_version: 1111.2325v2 · doi: 10.48550/arxiv.1111.2325 · pith_short_12: HGNSBS5QKTL4 · pith_short_16: HGNSBS5QKTL4LV5Y · pith_short_8: HGNSBS5Q

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/HGNSBS5QKTL4LV5YYYV6SE5PEZ \
  | 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: 399b20cbb054d7c5d7b8c62be913af2657ce2a201c95f89138654bb0672a46d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50865925aec3eb11d96a5229e719b2d50954493ba9df93b0f90a26f42dad1d27",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-09T20:38:56Z",
    "title_canon_sha256": "87ce82dea32e2c7dd63c0fc2867e601c4d8f3bb72034e103372e403aa5a045e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2325",
    "kind": "arxiv",
    "version": 2
  }
}