pith. sign in
Pith Number

pith:UUXICJW3

pith:2012:UUXICJW3CLL36ZCQLRGC3XRKSG
not attested not anchored not stored refs pending

Series solution of a central potential problem with three-term recursion relation

Chandan Mondal, Dipankar Chakrabarti, Jishnu Goswami

arxiv:1208.4473 v1 · 2012-08-22 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UUXICJW3CLL36ZCQLRGC3XRKSG}

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 2026-05-18T03:16:19.198105Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a52e8126db12d7bf64505c4c2dde2a918f6ce6b9c7da4e476134fca2bfb1eba2

Aliases

arxiv: 1208.4473 · arxiv_version: 1208.4473v1 · doi: 10.48550/arxiv.1208.4473 · pith_short_12: UUXICJW3CLL3 · pith_short_16: UUXICJW3CLL36ZCQ · pith_short_8: UUXICJW3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UUXICJW3CLL36ZCQLRGC3XRKSG \
  | 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: a52e8126db12d7bf64505c4c2dde2a918f6ce6b9c7da4e476134fca2bfb1eba2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "230d2bd1a639a270e2766ca4fd9f10e802bc30c86c66902b26489c157414c549",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-22T10:54:18Z",
    "title_canon_sha256": "c305baff45d86f1b603ba964912930f3630764cb10f03c4a4bf180369c7cad47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4473",
    "kind": "arxiv",
    "version": 1
  }
}