Pith Number

pith:J23G433A

pith:2013:J23G433AJWDQB3WREZBQ72DA6A

not attested not anchored not stored refs pending

On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations

Guo-Fu Yu, Yik-Man Chiang

arxiv:1310.5507 v2 · 2013-10-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J23G433AJWDQB3WREZBQ72DA6A}

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	2026-05-18T01:00:54.259618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb66e6f604d8700eed126430fe860f01f1c23c04883d7977176fe90ed48b0c4

Aliases

arxiv: 1310.5507 · arxiv_version: 1310.5507v2 · doi: 10.48550/arxiv.1310.5507 · pith_short_12: J23G433AJWDQ · pith_short_16: J23G433AJWDQB3WR · pith_short_8: J23G433A

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/J23G433AJWDQB3WREZBQ72DA6A \
  | 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: 4eb66e6f604d8700eed126430fe860f01f1c23c04883d7977176fe90ed48b0c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661320d4829e392b2809599d716b0743ffd27c4dfa354b2c4ae5e8eb45558a0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-21T11:11:42Z",
    "title_canon_sha256": "7710c890bbd1a3f68ed246f78b1951b3cd157d03d05767b1eac6d48e273e0cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5507",
    "kind": "arxiv",
    "version": 2
  }
}