Pith Number

pith:PRWS4GGL

pith:2012:PRWS4GGLQHIWKUUTNCB34C7D32

not attested not anchored not stored refs pending

Computation of Analytic Capacity and applications to the Subadditivity Problem

Malik Younsi, Thomas Ransford

arxiv:1209.3326 v2 · 2012-09-14 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRWS4GGLQHIWKUUTNCB34C7D32}

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	2026-05-18T01:24:15.035919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6d2e18cb81d16552936883be0be3deb12fd555c738d004d938b5f2a9c5f6c9

Aliases

arxiv: 1209.3326 · arxiv_version: 1209.3326v2 · doi: 10.48550/arxiv.1209.3326 · pith_short_12: PRWS4GGLQHIW · pith_short_16: PRWS4GGLQHIWKUUT · pith_short_8: PRWS4GGL

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/PRWS4GGLQHIWKUUTNCB34C7D32 \
  | 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: 7c6d2e18cb81d16552936883be0be3deb12fd555c738d004d938b5f2a9c5f6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2577ab041a8d69e9584e2430001aa1acac1022887f2e6a11efe050f9fed7756",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-14T21:03:55Z",
    "title_canon_sha256": "3bb71a033380ddd35fe8e9e852457310eea2a5d07a6e9a343d01190d6f54782d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3326",
    "kind": "arxiv",
    "version": 2
  }
}