Pith Number

pith:R4QO3LUI

pith:2017:R4QO3LUIRIHYD4MAWWIAUB2EAS

not attested not anchored not stored refs pending

Isomorphic classification of $\ast$-algebras of log-integrable functions

Rustam Abdullayev, Vladimir Chilin

arxiv:1707.08269 v1 · 2017-07-26 · 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{R4QO3LUIRIHYD4MAWWIAUB2EAS}

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	2026-05-18T00:39:24.747577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f20edae888a0f81f180b5900a074404ac1a2d3539e5e71ac6144bef592c70ec

Aliases

arxiv: 1707.08269 · arxiv_version: 1707.08269v1 · doi: 10.48550/arxiv.1707.08269 · pith_short_12: R4QO3LUIRIHY · pith_short_16: R4QO3LUIRIHYD4MA · pith_short_8: R4QO3LUI

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/R4QO3LUIRIHYD4MAWWIAUB2EAS \
  | 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: 8f20edae888a0f81f180b5900a074404ac1a2d3539e5e71ac6144bef592c70ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3398e12bba4c1db8510ce877d86617f96cc39c5ae1d62b536e5988b7d5e2ed77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-26T01:36:25Z",
    "title_canon_sha256": "330af1885fa708f52c48ce1116205a65d60c7619dc5d997ff466433e57bc601f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08269",
    "kind": "arxiv",
    "version": 1
  }
}