Pith Number

pith:QBTW3HYU

pith:2018:QBTW3HYUEFKVDTAU6NGJN244PK

not attested not anchored not stored refs pending

On the isoperimetric problem with double density

Aldo Pratelli, Giorgio Saracco

arxiv:1804.02966 v4 · 2018-04-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBTW3HYUEFKVDTAU6NGJN244PK}

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	2026-05-18T00:01:23.403893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80676d9f14215551cc14f34c96eb9c7aafd6a515d90ca6d18d871c3bf702171e

Aliases

arxiv: 1804.02966 · arxiv_version: 1804.02966v4 · doi: 10.48550/arxiv.1804.02966 · pith_short_12: QBTW3HYUEFKV · pith_short_16: QBTW3HYUEFKVDTAU · pith_short_8: QBTW3HYU

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/QBTW3HYUEFKVDTAU6NGJN244PK \
  | 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: 80676d9f14215551cc14f34c96eb9c7aafd6a515d90ca6d18d871c3bf702171e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6dd65b19c7ff802c9697b7d2ad24eaffbf59fc4c2f72b0b948fbd5d3303a5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-09T13:23:19Z",
    "title_canon_sha256": "255f0f8de6589165f4f06fed5f5c89f29d293801026200d54ac2a318e22a754e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02966",
    "kind": "arxiv",
    "version": 4
  }
}