Pith Number

pith:4SEIB5LM

pith:2007:4SEIB5LMN2F2RJPDZXL52ET42G

not attested not anchored not stored refs pending

Semiclassical Analysis for Hartree equation

R\'emi Carles (I3M), Satoshi Masaki (Kyoto)

arxiv:0712.1679 v1 · 2007-12-11 · math.AP · 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{4SEIB5LMN2F2RJPDZXL52ET42G}

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	2026-07-04T15:06:12.291238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48880f56c6e8ba8a5e3cdd7dd127cd19a2b7412edd742dad9b127d306651c42

Aliases

arxiv: 0712.1679 · arxiv_version: 0712.1679v1 · doi: 10.48550/arxiv.0712.1679 · pith_short_12: 4SEIB5LMN2F2 · pith_short_16: 4SEIB5LMN2F2RJPD · pith_short_8: 4SEIB5LM

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/4SEIB5LMN2F2RJPDZXL52ET42G \
  | 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: e48880f56c6e8ba8a5e3cdd7dd127cd19a2b7412edd742dad9b127d306651c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc54163388ec432c3c30ccdfe33d3250f654c76cef48700d4842ed03f4c653e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-12-11T10:42:23Z",
    "title_canon_sha256": "db8dc868fd8beb8df60a69209494286f24031f8467c3efbc27243f607f91e44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1679",
    "kind": "arxiv",
    "version": 1
  }
}