Pith Number

pith:TRB5PSKO

pith:2012:TRB5PSKO5YO7EBHYFUMRIS7UU3

not attested not anchored not stored refs pending

Multipolarons in a Constant Magnetic Field

Ioannis Anapolitanos, Marcel Griesemer

arxiv:1204.5660 v2 · 2012-04-25 · 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{TRB5PSKO5YO7EBHYFUMRIS7UU3}

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	2026-05-18T03:35:28.225136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c43d7c94eee1df204f82d19144bf4a6db1ff178e9b57912fc14e47695132d23

Aliases

arxiv: 1204.5660 · arxiv_version: 1204.5660v2 · doi: 10.48550/arxiv.1204.5660 · pith_short_12: TRB5PSKO5YO7 · pith_short_16: TRB5PSKO5YO7EBHY · pith_short_8: TRB5PSKO

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/TRB5PSKO5YO7EBHYFUMRIS7UU3 \
  | 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: 9c43d7c94eee1df204f82d19144bf4a6db1ff178e9b57912fc14e47695132d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d5a3239f35f6f6a62a7f35f4c838491956d94db5ea9af7beacbf0901131d1c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-25T14:02:49Z",
    "title_canon_sha256": "8168494ba1bc6c9ff93227208f5354e459657023a985caefec4aa5e9df641c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5660",
    "kind": "arxiv",
    "version": 2
  }
}