Pith Number

pith:3P2T7H7M

pith:2014:3P2T7H7MCO2YQ7R6N46PEUYGEA

not attested not anchored not stored refs pending

Bernstein--Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type

Carlos Gonz\'alez, Gari Roa, Kazimierz Nikodem, Zsolt P\'ales

arxiv:1401.3190 v2 · 2014-01-14 · 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{3P2T7H7MCO2YQ7R6N46PEUYGEA}

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	2026-05-18T00:41:23.653722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf53f9fec13b5887e3e6f3cf25306200a7a81ba4d430721a82d6d07c71e7e20

Aliases

arxiv: 1401.3190 · arxiv_version: 1401.3190v2 · doi: 10.48550/arxiv.1401.3190 · pith_short_12: 3P2T7H7MCO2Y · pith_short_16: 3P2T7H7MCO2YQ7R6 · pith_short_8: 3P2T7H7M

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/3P2T7H7MCO2YQ7R6N46PEUYGEA \
  | 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: dbf53f9fec13b5887e3e6f3cf25306200a7a81ba4d430721a82d6d07c71e7e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d659dd35587d6fe6f15f295bf311b5eabe059cda38b00462aed0d3016996bd23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-14T14:16:28Z",
    "title_canon_sha256": "a96ed9874506bdcd4957493e2c43d845e42b4443e90ece53996f3f13f544caa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3190",
    "kind": "arxiv",
    "version": 2
  }
}