Pith Number

pith:PMNWFG7G

pith:2013:PMNWFG7GYQ7IUK6AFWCDNMGKXK

not attested not anchored not stored refs pending

On weakly D-differentiable operators

Erik Christensen

arxiv:1303.7426 v4 · 2013-03-29 · math.FA · math-ph · math.MP · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMNWFG7GYQ7IUK6AFWCDNMGKXK}

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	2026-05-18T02:25:05.009487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1b629be6c43e8a2bc02d8436b0cababb8578fb8fe211094fd553715a89ef68

Aliases

arxiv: 1303.7426 · arxiv_version: 1303.7426v4 · doi: 10.48550/arxiv.1303.7426 · pith_short_12: PMNWFG7GYQ7I · pith_short_16: PMNWFG7GYQ7IUK6A · pith_short_8: PMNWFG7G

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/PMNWFG7GYQ7IUK6AFWCDNMGKXK \
  | 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: 7b1b629be6c43e8a2bc02d8436b0cababb8578fb8fe211094fd553715a89ef68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ae1492ab4437ca9d65cf3227971e005bc4e2e882c321616824bf3a7ddce56d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-29T15:48:08Z",
    "title_canon_sha256": "25f58bdf932d27bbccdea5f72976ab6a7b732d9a390860104dfa82e5549b458e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7426",
    "kind": "arxiv",
    "version": 4
  }
}