Pith Number

pith:B75LPE6N

pith:2013:B75LPE6NCG3TEE5UZPPNPOBVCJ

not attested not anchored not stored refs pending

Linear Difference Equations with a Transition Point at the Origin

Lihua Cao, Yutian Li

arxiv:1303.4846 v3 · 2013-03-20 · 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{B75LPE6NCG3TEE5UZPPNPOBVCJ}

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	2026-05-18T02:54:39.667024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ffab793cd11b73213b4cbded7b83512618bc0e59f841d7750e4087ecb1b7a51

Aliases

arxiv: 1303.4846 · arxiv_version: 1303.4846v3 · doi: 10.48550/arxiv.1303.4846 · pith_short_12: B75LPE6NCG3T · pith_short_16: B75LPE6NCG3TEE5U · pith_short_8: B75LPE6N

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/B75LPE6NCG3TEE5UZPPNPOBVCJ \
  | 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: 0ffab793cd11b73213b4cbded7b83512618bc0e59f841d7750e4087ecb1b7a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757baebd2bf1aac67024bc77e9a3ee848ccf9147ee136572834054bf171d8c64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-20T06:24:46Z",
    "title_canon_sha256": "a7c4473c10b81e2003f980dc94b7d12b5d6dfd8ff32e921d2de4d59653595c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4846",
    "kind": "arxiv",
    "version": 3
  }
}