Pith Number

pith:FYCRFGCD

pith:2023:FYCRFGCD2C2HAFVE2ZRAM6QNH5

not attested not anchored not stored refs pending

The Isoperimetric Problem for the Curl Operator

S. Montiel

arxiv:2307.09556 v1 · 2023-07-18 · math.DG · 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{FYCRFGCD2C2HAFVE2ZRAM6QNH5}

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	2026-07-05T06:32:42.745213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e05129843d0b47016a4d662067a0d3f4b3627a250551771f7da78c525fb57c5

Aliases

arxiv: 2307.09556 · arxiv_version: 2307.09556v1 · doi: 10.48550/arxiv.2307.09556 · pith_short_12: FYCRFGCD2C2H · pith_short_16: FYCRFGCD2C2HAFVE · pith_short_8: FYCRFGCD

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/FYCRFGCD2C2HAFVE2ZRAM6QNH5 \
  | 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: 2e05129843d0b47016a4d662067a0d3f4b3627a250551771f7da78c525fb57c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2d25073c825722a5742e829bddbe542d4538655a60329d6cf92c4397e351df",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-07-18T19:15:05Z",
    "title_canon_sha256": "ddb5d93f2b076f30ef8d1ccf8e6588c1b3cbfead0680b4dbb44b9fab1173d23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09556",
    "kind": "arxiv",
    "version": 1
  }
}