Pith Number

pith:XIYELOGI

pith:2010:XIYELOGIMJ6X7PWO536EJEPHNR

not attested not anchored not stored refs pending

Fr\"ohlich Polarons. Lecture course including detailed theoretical derivations

J. T. Devreese

arxiv:1012.4576 v6 · 2010-12-21 · cond-mat.other

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIYELOGIMJ6X7PWO536EJEPHNR}

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	2026-05-18T01:25:56.055712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3045b8c8627d7fbeceeefc4491e76c74f752f81d1ca0d23175c8d5b41863fc

Aliases

arxiv: 1012.4576 · arxiv_version: 1012.4576v6 · doi: 10.48550/arxiv.1012.4576 · pith_short_12: XIYELOGIMJ6X · pith_short_16: XIYELOGIMJ6X7PWO · pith_short_8: XIYELOGI

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/XIYELOGIMJ6X7PWO536EJEPHNR \
  | 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: ba3045b8c8627d7fbeceeefc4491e76c74f752f81d1ca0d23175c8d5b41863fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf20c88de450525d1c579733656709b32e64ed0fe9b15f332fb47f1f8343987",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2010-12-21T09:24:05Z",
    "title_canon_sha256": "e6a2b6352c17d8b3ec384dc487824857a5e529e4ca4382776c1370409fa6a476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4576",
    "kind": "arxiv",
    "version": 6
  }
}