Pith Number

pith:LLZRIPEZ

pith:2012:LLZRIPEZ4RZICN2GV5FXWMSNSK

not attested not anchored not stored refs pending

On formula of regularized traces II

Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy

arxiv:1210.8097 v2 · 2012-10-30 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLZRIPEZ4RZICN2GV5FXWMSNSK}

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	2026-05-18T01:17:38.149574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af3143c99e472813746af4b7b324d928b0abcca9486214a23d13fabf8eb2bc6

Aliases

arxiv: 1210.8097 · arxiv_version: 1210.8097v2 · doi: 10.48550/arxiv.1210.8097 · pith_short_12: LLZRIPEZ4RZI · pith_short_16: LLZRIPEZ4RZICN2G · pith_short_8: LLZRIPEZ

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/LLZRIPEZ4RZICN2GV5FXWMSNSK \
  | 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: 5af3143c99e472813746af4b7b324d928b0abcca9486214a23d13fabf8eb2bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ea5d4e3e3860416e09ed532e170654d16ef864b79e9499bd31859dbe39427a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-10-30T17:45:17Z",
    "title_canon_sha256": "2fa845a20bc38804a456d6fad16a6deecccf03a74bf9c78da058fc3c178177e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8097",
    "kind": "arxiv",
    "version": 2
  }
}