Pith Number

pith:CISA5DRW

pith:2010:CISA5DRWX7FLOB6HJ5P4NWVLNX

not attested not anchored not stored refs pending

Constrained energy problems with external fields for infinite dimensional vector measures

Natalia Zorii

arxiv:1010.2126 v1 · 2010-10-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CISA5DRWX7FLOB6HJ5P4NWVLNX}

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	2026-05-18T04:39:29.623714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12240e8e36bfcab707c74f5fc6daab6dcb7092664f33cf33c01940d898896d32

Aliases

arxiv: 1010.2126 · arxiv_version: 1010.2126v1 · doi: 10.48550/arxiv.1010.2126 · pith_short_12: CISA5DRWX7FL · pith_short_16: CISA5DRWX7FLOB6H · pith_short_8: CISA5DRW

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/CISA5DRWX7FLOB6HJ5P4NWVLNX \
  | 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: 12240e8e36bfcab707c74f5fc6daab6dcb7092664f33cf33c01940d898896d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234987b51f6520220db8de6e4933fe38c80342a875bc891b36f634ace53915fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-11T14:58:56Z",
    "title_canon_sha256": "b7b5681fe9bacece7f7f2aa7dc3126298ff53afbd632dffdaddd9bc5044824e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2126",
    "kind": "arxiv",
    "version": 1
  }
}