Pith Number

pith:6THIY6VP

pith:2016:6THIY6VPUUDYRG3KOG6LB5UGY6

not attested not anchored not stored refs pending

Norm approximation for many-body quantum dynamics and Bogoliubov theory

Marcin Napi\'orkowski, Phan Th\`anh Nam

arxiv:1611.03961 v1 · 2016-11-12 · 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{6THIY6VPUUDYRG3KOG6LB5UGY6}

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	2026-05-18T00:59:17.976447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ce8c7aafa507889b6a71bcb0f686c7baa1f5d35e880bcceb6df14b4834f070

Aliases

arxiv: 1611.03961 · arxiv_version: 1611.03961v1 · doi: 10.48550/arxiv.1611.03961 · pith_short_12: 6THIY6VPUUDY · pith_short_16: 6THIY6VPUUDYRG3K · pith_short_8: 6THIY6VP

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/6THIY6VPUUDYRG3KOG6LB5UGY6 \
  | 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: f4ce8c7aafa507889b6a71bcb0f686c7baa1f5d35e880bcceb6df14b4834f070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3658c5a1c947febfc397e2459f209384769de729a36d1d64a172e3611fdb38",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-12T06:52:38Z",
    "title_canon_sha256": "974ad46615cdec9b255cb7c0770d4b8bee3ff929e6f4c5337ccb65831f969eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03961",
    "kind": "arxiv",
    "version": 1
  }
}