Pith Number

pith:TRJN63QO

pith:2013:TRJN63QO25QC5YM3AD5ICBTXNV

not attested not anchored not stored refs pending

An extremal problem for characteristic functions

Dan Timotin, Isabelle Chalendar, Stephan Ramon Garcia, William T. Ross

arxiv:1307.2646 v2 · 2013-07-10 · math.CV · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRJN63QO25QC5YM3AD5ICBTXNV}

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	2026-05-18T02:54:46.964255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c52df6e0ed7602ee19b00fa8106776d5052355d31d1e1409d02259bae30195b

Aliases

arxiv: 1307.2646 · arxiv_version: 1307.2646v2 · doi: 10.48550/arxiv.1307.2646 · pith_short_12: TRJN63QO25QC · pith_short_16: TRJN63QO25QC5YM3 · pith_short_8: TRJN63QO

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/TRJN63QO25QC5YM3AD5ICBTXNV \
  | 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: 9c52df6e0ed7602ee19b00fa8106776d5052355d31d1e1409d02259bae30195b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55bd84015a480177124346e745ae6f50a7172b3385e61ebb46070cf3f581a5e9",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-10T01:45:01Z",
    "title_canon_sha256": "dc31dda9c2fe59be59ba17720de99a3a1bdbc85839f395e9719f2b3dddf3610a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2646",
    "kind": "arxiv",
    "version": 2
  }
}