Pith Number

pith:W5TUUUUX

pith:2013:W5TUUUUXJQCY7ITKQ2DO57VHQL

not attested not anchored not stored refs pending

Differential operators admitting various rates of spectral projection growth

Boris Mityagin, Joe Viola, Petr Siegl

arxiv:1309.3751 v2 · 2013-09-15 · math.SP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5TUUUUXJQCY7ITKQ2DO57VHQL}

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	2026-05-18T00:52:53.597174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7674a52974c058fa26a8686eefea782dc04b22806adb1aa9411d9b7be42747b

Aliases

arxiv: 1309.3751 · arxiv_version: 1309.3751v2 · doi: 10.48550/arxiv.1309.3751 · pith_short_12: W5TUUUUXJQCY · pith_short_16: W5TUUUUXJQCY7ITK · pith_short_8: W5TUUUUX

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/W5TUUUUXJQCY7ITKQ2DO57VHQL \
  | 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: b7674a52974c058fa26a8686eefea782dc04b22806adb1aa9411d9b7be42747b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2070451f1c93d1d75595b3520e77a91ced499ea967394543f8d33f7f59fec435",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-15T11:21:23Z",
    "title_canon_sha256": "c38225c9002cc9b7dcfb3aa3d3dc5cb9966d4fc560e68e2a0fc780d9ecb8eb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3751",
    "kind": "arxiv",
    "version": 2
  }
}