Pith Number

pith:U3N7FNCG

pith:2010:U3N7FNCGBRBVTCSXHWXKCS6F5K

not attested not anchored not stored refs pending

Trace formulae for perturbations of class $\bs{\bS_m}$

Alexei Aleksandrov, Vladimir Peller

arxiv:1007.2994 v2 · 2010-07-18 · math.FA · math.CA · math.CV · 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{U3N7FNCGBRBVTCSXHWXKCS6F5K}

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	2026-05-18T04:42:23.770431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6dbf2b4460c43598a573daea14bc5ea90b10ecb4b21ca0f9397a5c945e61b86

Aliases

arxiv: 1007.2994 · arxiv_version: 1007.2994v2 · doi: 10.48550/arxiv.1007.2994 · pith_short_12: U3N7FNCGBRBV · pith_short_16: U3N7FNCGBRBVTCSX · pith_short_8: U3N7FNCG

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/U3N7FNCGBRBVTCSXHWXKCS6F5K \
  | 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: a6dbf2b4460c43598a573daea14bc5ea90b10ecb4b21ca0f9397a5c945e61b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729d2e9e929ddeced47b8e26d82949faebbf3236fdbe97aa5079d10dbb296f54",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-18T12:07:10Z",
    "title_canon_sha256": "3231426fcc8f6b9a125faac32a0b1073042e24276f8efec20711a1ac37277f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2994",
    "kind": "arxiv",
    "version": 2
  }
}