Pith Number

pith:5TDNF2EO

pith:2013:5TDNF2EOM7GBB22LEAHJ2P6Y2N

not attested not anchored not stored refs pending

Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol

George Marinescu, Martin Pinsonnault, Tatyana Barron, Xiaonan Ma (IMJ)

arxiv:1310.3571 v2 · 2013-10-14 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TDNF2EOM7GBB22LEAHJ2P6Y2N}

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	2026-05-18T02:53:07.948606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc6d2e88e67cc10eb4b200e9d3fd8d365798f205292eca3ade8330460dea3d4

Aliases

arxiv: 1310.3571 · arxiv_version: 1310.3571v2 · doi: 10.48550/arxiv.1310.3571 · pith_short_12: 5TDNF2EOM7GB · pith_short_16: 5TDNF2EOM7GBB22L · pith_short_8: 5TDNF2EO

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/5TDNF2EOM7GBB22LEAHJ2P6Y2N \
  | 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: ecc6d2e88e67cc10eb4b200e9d3fd8d365798f205292eca3ade8330460dea3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f9bac975d0fa0c1b7db5c721735b626195be8e6df8677163bab80de9a7cade",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-14T06:25:50Z",
    "title_canon_sha256": "de9832246f34407b80f7287552dbac4923cb723ab42a9cf843751f3208e8cb3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3571",
    "kind": "arxiv",
    "version": 2
  }
}