Pith Number

pith:JOKRMDMR

pith:2011:JOKRMDMRZMMLIYX2FTEHRJTUBU

not attested not anchored not stored refs pending

Sharp bounds for the p-torsion of convex planar domains

Filippo Gazzola, Ilaria Fragal\`a, Jimmy Lamboley (CEREMADE)

arxiv:1112.5050 v1 · 2011-12-21 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOKRMDMRZMMLIYX2FTEHRJTUBU}

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	2026-05-18T04:05:56.364833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b95160d91cb18b462fa2cc878a6740d3088ff4d360c1452ce7055da9f0ca9f9

Aliases

arxiv: 1112.5050 · arxiv_version: 1112.5050v1 · doi: 10.48550/arxiv.1112.5050 · pith_short_12: JOKRMDMRZMML · pith_short_16: JOKRMDMRZMMLIYX2 · pith_short_8: JOKRMDMR

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/JOKRMDMRZMMLIYX2FTEHRJTUBU \
  | 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: 4b95160d91cb18b462fa2cc878a6740d3088ff4d360c1452ce7055da9f0ca9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce7240aac5e04423ad03c0bfbd71da0068cafe7e8667ba942759ea540109589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-21T15:12:14Z",
    "title_canon_sha256": "82aad182536f54038a54168ab4199b0aea5b69885a3fc9503107d0a435c3b420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5050",
    "kind": "arxiv",
    "version": 1
  }
}