Pith Number

pith:JAIMHHXA

pith:2009:JAIMHHXA3XALLWHTWQGNT6NWK4

not attested not anchored not stored refs pending

Bounds on the Minimal Energy of Translation Invariant $N$-Polaron Systems

Jacob Schach M{\o}ller, Marcel Griesemer

arxiv:0907.0752 v1 · 2009-07-04 · 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{JAIMHHXA3XALLWHTWQGNT6NWK4}

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	2026-05-18T02:13:05.330905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4810c39ee0ddc0b5d8f3b40cd9f9b6572ed8c71e8dc08a8d7ff10301696a1b38

Aliases

arxiv: 0907.0752 · arxiv_version: 0907.0752v1 · doi: 10.48550/arxiv.0907.0752 · pith_short_12: JAIMHHXA3XAL · pith_short_16: JAIMHHXA3XALLWHT · pith_short_8: JAIMHHXA

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/JAIMHHXA3XALLWHTWQGNT6NWK4 \
  | 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: 4810c39ee0ddc0b5d8f3b40cd9f9b6572ed8c71e8dc08a8d7ff10301696a1b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d203adda11a60895066ec710078c2e7e9b89def894b72df8458302b3b7ac9a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-04T11:52:23Z",
    "title_canon_sha256": "6740444d73b3fa346a64fd15946ee0ca7493999f1948985af3c504142eb10dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0752",
    "kind": "arxiv",
    "version": 1
  }
}