Pith Number

pith:72YSKM7Z

pith:2014:72YSKM7ZEPO4AJW77XIDRMQO3P

not attested not anchored not stored refs pending

Lipschitz $p$-convex and $q$-concave maps

Javier Alejandro Ch\'avez-Dom\'inguez

arxiv:1406.6357 v1 · 2014-06-24 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72YSKM7ZEPO4AJW77XIDRMQO3P}

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	2026-05-18T02:49:03.597998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb12533f923ddc026dffdd038b20edbcebcadb1e672d2e73565b856fa4dfb29

Aliases

arxiv: 1406.6357 · arxiv_version: 1406.6357v1 · doi: 10.48550/arxiv.1406.6357 · pith_short_12: 72YSKM7ZEPO4 · pith_short_16: 72YSKM7ZEPO4AJW7 · pith_short_8: 72YSKM7Z

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/72YSKM7ZEPO4AJW77XIDRMQO3P \
  | 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: feb12533f923ddc026dffdd038b20edbcebcadb1e672d2e73565b856fa4dfb29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab116ebfc6205fb7c2434842098187982840863eed43214779cc0dd1b5c37adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-06-24T19:57:06Z",
    "title_canon_sha256": "3da8c4463c969c39ceeea3d8746849e089dcba59ef1f722a331794e455614013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6357",
    "kind": "arxiv",
    "version": 1
  }
}