Pith Number

pith:PJA7TBZ3

pith:2013:PJA7TBZ3MOMWN5CI3PR3Y4SGA7

not attested not anchored not stored refs pending

Fine scales of decay of operator semigroups

Charles Batty, Ralph Chill, Yuri Tomilov

arxiv:1305.5365 v2 · 2013-05-23 · math.FA · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJA7TBZ3MOMWN5CI3PR3Y4SGA7}

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	2026-05-18T01:19:14.552583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a41f9873b639966f448dbe3bc724607cbd8820709ad96bb07e8775deecd7557

Aliases

arxiv: 1305.5365 · arxiv_version: 1305.5365v2 · doi: 10.48550/arxiv.1305.5365 · pith_short_12: PJA7TBZ3MOMW · pith_short_16: PJA7TBZ3MOMWN5CI · pith_short_8: PJA7TBZ3

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/PJA7TBZ3MOMWN5CI3PR3Y4SGA7 \
  | 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: 7a41f9873b639966f448dbe3bc724607cbd8820709ad96bb07e8775deecd7557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a330c009ae6601fc106a743e1d2955148c94c22146d35a9e8d3b37c493cfe8b9",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-23T09:59:40Z",
    "title_canon_sha256": "d2d1be21981b3be829472eaec695ea5a6365493151aa04e04bb44006d3061449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5365",
    "kind": "arxiv",
    "version": 2
  }
}