Pith Number

pith:EW5AEFMD

pith:2013:EW5AEFMDY5G4S6EGUKOT4EINLR

not attested not anchored not stored refs pending

Asymptotic expansions for trace functionals

Anna Skripka

arxiv:1312.7804 v1 · 2013-12-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EW5AEFMDY5G4S6EGUKOT4EINLR}

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	2026-05-18T03:03:33.674990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ba021583c74dc97886a29d3e110d5c516fa1cec058d2894ee646ae2bf0dca8

Aliases

arxiv: 1312.7804 · arxiv_version: 1312.7804v1 · doi: 10.48550/arxiv.1312.7804 · pith_short_12: EW5AEFMDY5G4 · pith_short_16: EW5AEFMDY5G4S6EG · pith_short_8: EW5AEFMD

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/EW5AEFMDY5G4S6EGUKOT4EINLR \
  | 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: 25ba021583c74dc97886a29d3e110d5c516fa1cec058d2894ee646ae2bf0dca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64f9b4cfdcfc56eadb7716d839f50f4910cde944a3b7efc4ed899bb38f8aa820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-30T18:15:44Z",
    "title_canon_sha256": "a46f1e3b5b26da72bca5d6c09df868e3ea02ef1aae7127389e8860d69490e432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7804",
    "kind": "arxiv",
    "version": 1
  }
}