Pith Number

pith:5L2TKCRF

pith:2013:5L2TKCRFHBQITGT4MX7YPP3U33

not attested not anchored not stored refs pending

Cone Monotonicity: Structure Theorem, Properties, and Comparisons to Other Notions of Monotonicity

Heather A. Van Dyke, Kevin R. Vixie, Thomas J. Asaki

arxiv:1306.6930 v1 · 2013-06-28 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L2TKCRFHBQITGT4MX7YPP3U33}

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	2026-05-18T03:19:35.779481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf5350a253860899a7c65ff87bf74deed744419b41b9ff7f78fdda91afd331e

Aliases

arxiv: 1306.6930 · arxiv_version: 1306.6930v1 · doi: 10.48550/arxiv.1306.6930 · pith_short_12: 5L2TKCRFHBQI · pith_short_16: 5L2TKCRFHBQITGT4 · pith_short_8: 5L2TKCRF

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/5L2TKCRFHBQITGT4MX7YPP3U33 \
  | 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: eaf5350a253860899a7c65ff87bf74deed744419b41b9ff7f78fdda91afd331e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741a85df685cb8d4f0054e4707dc9f10635afea8d3e4ed560ba8f1f1bfbc3be3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-28T18:59:22Z",
    "title_canon_sha256": "344b6834062c00db18ca04dd7cb85cb0c24016f24b8323e9c1adb67ba733912b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6930",
    "kind": "arxiv",
    "version": 1
  }
}