Pith Number

pith:54M77TIR

pith:2011:54M77TIRYIV6HH5KB2UOIREXXG

not attested not anchored not stored refs pending

Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method

Sameer M. Ikhdair

arxiv:1110.3153 v1 · 2011-10-14 · 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{54M77TIRYIV6HH5KB2UOIREXXG}

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	2026-05-18T04:00:28.291240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef19ffcd11c22be39faa0ea8e44497b9a6d1072765d602ba7c276159331c76bd

Aliases

arxiv: 1110.3153 · arxiv_version: 1110.3153v1 · doi: 10.48550/arxiv.1110.3153 · pith_short_12: 54M77TIRYIV6 · pith_short_16: 54M77TIRYIV6HH5K · pith_short_8: 54M77TIR

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/54M77TIRYIV6HH5KB2UOIREXXG \
  | 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: ef19ffcd11c22be39faa0ea8e44497b9a6d1072765d602ba7c276159331c76bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3792b00cc29dea7974af19e5fa00211df571c74005b791aa3e343e4b0438b4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-14T09:08:23Z",
    "title_canon_sha256": "25f99434845d79f8c237b7031691fd0a515f6fe400e5b5f304110c224e1845e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3153",
    "kind": "arxiv",
    "version": 1
  }
}