Pith Number

pith:O5NVSJMD

pith:2014:O5NVSJMDWRMDAEYNXB2GQMGKQB

not attested not anchored not stored refs pending

A truly elementary proof of Bertrand's theorem

Siu A. Chin

arxiv:1411.7057 v1 · 2014-11-25 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5NVSJMDWRMDAEYNXB2GQMGKQB}

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	2026-05-18T01:41:25.804613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775b592583b45830130db8746830ca8051b1647854316c8c8ba4534a841e22b7

Aliases

arxiv: 1411.7057 · arxiv_version: 1411.7057v1 · doi: 10.48550/arxiv.1411.7057 · pith_short_12: O5NVSJMDWRMD · pith_short_16: O5NVSJMDWRMDAEYN · pith_short_8: O5NVSJMD

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/O5NVSJMDWRMDAEYNXB2GQMGKQB \
  | 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: 775b592583b45830130db8746830ca8051b1647854316c8c8ba4534a841e22b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b578aace4e0a304e0ca244f67c5a76e7159b51ade4fc6429704858fd68121f12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2014-11-25T22:25:13Z",
    "title_canon_sha256": "ce04d4b19f60b2fc5e75803f91857d2f622630ca1a31a6b6a9f7a0ce21ad9daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7057",
    "kind": "arxiv",
    "version": 1
  }
}