Pith Number

pith:JGBPRCAS

pith:2015:JGBPRCASBJLVAAQ3OAUTRRRUKW

not attested not anchored not stored refs pending

Spectrally reasonable measures

Micha{\l} Wojciechowski, Przemys{\l}aw Ohrysko

arxiv:1506.03015 v2 · 2015-06-09 · 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{JGBPRCASBJLVAAQ3OAUTRRRUKW}

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	2026-05-18T00:44:28.351532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4982f888120a5750021b702938c634558ffbfd0fc14412dc94744ebbfe79a6d2

Aliases

arxiv: 1506.03015 · arxiv_version: 1506.03015v2 · doi: 10.48550/arxiv.1506.03015 · pith_short_12: JGBPRCASBJLV · pith_short_16: JGBPRCASBJLVAAQ3 · pith_short_8: JGBPRCAS

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/JGBPRCASBJLVAAQ3OAUTRRRUKW \
  | 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: 4982f888120a5750021b702938c634558ffbfd0fc14412dc94744ebbfe79a6d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e7500eb6d9ca0870ef23caa1c5c66d79a8d4835a58666b2d565563e81b9611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-09T17:37:41Z",
    "title_canon_sha256": "d9424948d289759a637a40676d570e0193b994cb87dad26871179a6438b791e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03015",
    "kind": "arxiv",
    "version": 2
  }
}