Pith Number

pith:V4PBLZ7F

pith:2019:V4PBLZ7FT6BN7PHC7FUL5CMWXG

not attested not anchored not stored refs pending

An elementary proof of a result Ma and Chen

Pingzhi Yuan, Qing Han

arxiv:1903.00121 v1 · 2019-03-01 · 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{V4PBLZ7FT6BN7PHC7FUL5CMWXG}

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	2026-05-17T23:52:20.857184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1e15e7e59f82dfbce2f968be8996b9a196a9823850e5848dba5f3f6209a870

Aliases

arxiv: 1903.00121 · arxiv_version: 1903.00121v1 · doi: 10.48550/arxiv.1903.00121 · pith_short_12: V4PBLZ7FT6BN · pith_short_16: V4PBLZ7FT6BN7PHC · pith_short_8: V4PBLZ7F

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/V4PBLZ7FT6BN7PHC7FUL5CMWXG \
  | 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: af1e15e7e59f82dfbce2f968be8996b9a196a9823850e5848dba5f3f6209a870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54993275b071b64d8cadb2e866ca062569d67c6d4138b395bbe6bc2f0ce85114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-01T01:42:43Z",
    "title_canon_sha256": "1620424dd8b4fc30da27cbe51b6de8c7067c6289cc0718ac18006e4dc69d7d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00121",
    "kind": "arxiv",
    "version": 1
  }
}