Pith Number

pith:RCIWDOHQ

pith:2013:RCIWDOHQI5QHU7JFSSR7JJVYPI

not attested not anchored not stored refs pending

An application of Jack's lemma for the minimum point

Hitoshi Shiraishi

arxiv:1303.0514 v1 · 2013-03-03 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCIWDOHQI5QHU7JFSSR7JJVYPI}

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	2026-05-18T03:31:55.667930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

889161b8f047607a7d2594a3f4a6b87a0a6fbc6ed9d46f2f187ae3ff15884c81

Aliases

arxiv: 1303.0514 · arxiv_version: 1303.0514v1 · doi: 10.48550/arxiv.1303.0514 · pith_short_12: RCIWDOHQI5QH · pith_short_16: RCIWDOHQI5QHU7JF · pith_short_8: RCIWDOHQ

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/RCIWDOHQI5QHU7JFSSR7JJVYPI \
  | 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: 889161b8f047607a7d2594a3f4a6b87a0a6fbc6ed9d46f2f187ae3ff15884c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0e5720975306ba004e83e4115105cff969d0a8eb407b3942c1de934a6e5bcc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-03T14:43:10Z",
    "title_canon_sha256": "931cd681cfbb1b2ce8883fdd5250087438c9afbcb2e2e9ef0812dfdd36b21078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0514",
    "kind": "arxiv",
    "version": 1
  }
}