Pith Number

pith:LJ2JAYHB

pith:2019:LJ2JAYHB3IUDQIGY4C3RO4Y5MZ

not attested not anchored not stored refs pending

On the values of representation functions II

Csaba Sandor, Quan-Hui Yang, Xing-Wang Jiang

arxiv:1904.10352 v1 · 2019-04-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ2JAYHB3IUDQIGY4C3RO4Y5MZ}

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	2026-05-17T23:47:54.334260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a749060e1da283820d8e0b717731d6642f5ac8b9591a7f32818e491a9c8ab96

Aliases

arxiv: 1904.10352 · arxiv_version: 1904.10352v1 · doi: 10.48550/arxiv.1904.10352 · pith_short_12: LJ2JAYHB3IUD · pith_short_16: LJ2JAYHB3IUDQIGY · pith_short_8: LJ2JAYHB

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/LJ2JAYHB3IUDQIGY4C3RO4Y5MZ \
  | 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: 5a749060e1da283820d8e0b717731d6642f5ac8b9591a7f32818e491a9c8ab96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5115578c20391f2028fc3d3fb18081b47567db451db84525ec23837fbd5fa9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-23T14:23:53Z",
    "title_canon_sha256": "364ded02b834bd5b4fcb85a91a1e419b1df6fd5521e1d3417ce35e04c53c5fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10352",
    "kind": "arxiv",
    "version": 1
  }
}