Pith Number

pith:IOPE2MMR

pith:2015:IOPE2MMRAYET7BWCFDS3J2OOY7

not attested not anchored not stored refs pending

Multiple operator integrals in perturbation theory

Vladimir Peller

arxiv:1509.02803 v1 · 2015-09-09 · 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{IOPE2MMRAYET7BWCFDS3J2OOY7}

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	2026-05-18T01:33:33.245201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439e4d319106093f86c228e5b4e9cec7ddf098bd0e894ba9f59b6e292f5d3245

Aliases

arxiv: 1509.02803 · arxiv_version: 1509.02803v1 · doi: 10.48550/arxiv.1509.02803 · pith_short_12: IOPE2MMRAYET · pith_short_16: IOPE2MMRAYET7BWC · pith_short_8: IOPE2MMR

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/IOPE2MMRAYET7BWCFDS3J2OOY7 \
  | 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: 439e4d319106093f86c228e5b4e9cec7ddf098bd0e894ba9f59b6e292f5d3245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "278905c54ac8da5e2b556e0f873e5847a77368a8ba565dcf6a1908c65f1b78ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-09T15:12:50Z",
    "title_canon_sha256": "e56270edfcc63a1a03aa32db8f0d306dfedb04a887fd69864fd5b8d773ff43ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02803",
    "kind": "arxiv",
    "version": 1
  }
}