Pith Number

pith:QXV7ZW2N

pith:2016:QXV7ZW2NHFUNX4HOZHE4YFGPZT

not attested not anchored not stored refs pending

The time-dependent Hartree-Fock-Bogoliubov equations for Bosons

Israel Michael Sigal, J\"urg Fr\"ohlich, S\'ebastien Breteaux, Thomas Chen, Volker Bach

arxiv:1602.05171 v2 · 2016-02-16 · 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{QXV7ZW2NHFUNX4HOZHE4YFGPZT}

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	2026-05-18T00:16:09.803776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ebfcdb4d3968dbf0eec9c9cc14cfccfc7ca5c6e70887a63de4b2b70a77b90a

Aliases

arxiv: 1602.05171 · arxiv_version: 1602.05171v2 · doi: 10.48550/arxiv.1602.05171 · pith_short_12: QXV7ZW2NHFUN · pith_short_16: QXV7ZW2NHFUNX4HO · pith_short_8: QXV7ZW2N

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/QXV7ZW2NHFUNX4HOZHE4YFGPZT \
  | 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: 85ebfcdb4d3968dbf0eec9c9cc14cfccfc7ca5c6e70887a63de4b2b70a77b90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976a1d3741f2d9838cf781485b05142bb821f56baa570505deb0daa5c8185a88",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T20:33:37Z",
    "title_canon_sha256": "6cd2cc0c32aa9faf72a676aa9f403a7ea2348cac68849d3dee1509afca01f2d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05171",
    "kind": "arxiv",
    "version": 2
  }
}