Pith Number

pith:DOTYJKM3

pith:2012:DOTYJKM3N2QZFEXDIIPQCFDDNY

not attested not anchored not stored refs pending

On $\varphi$-convexity

Judit Mak\'o, Zsolt P\'ales

arxiv:1211.4599 v1 · 2012-11-19 · 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{DOTYJKM3N2QZFEXDIIPQCFDDNY}

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	2026-05-18T03:40:26.234263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba784a99b6ea19292e3421f0114636e2adc57e93d3edaa96c47dde5980566be

Aliases

arxiv: 1211.4599 · arxiv_version: 1211.4599v1 · doi: 10.48550/arxiv.1211.4599 · pith_short_12: DOTYJKM3N2QZ · pith_short_16: DOTYJKM3N2QZFEXD · pith_short_8: DOTYJKM3

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/DOTYJKM3N2QZFEXDIIPQCFDDNY \
  | 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: 1ba784a99b6ea19292e3421f0114636e2adc57e93d3edaa96c47dde5980566be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860d2b7f72d3c4f3ebf901c925594283b9315a91032717b386c0cf2c90411560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-19T21:31:54Z",
    "title_canon_sha256": "919020e92fe60f9bc76eb23b6efcbebb7e4ca3cea519cb7a31e923a24135a908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4599",
    "kind": "arxiv",
    "version": 1
  }
}