Pith Number

pith:XXH6CGRL

pith:2018:XXH6CGRLTDBGFXGOHH4IKUS23H

not attested not anchored not stored refs pending

A note on product of measures

Grzegorz Andrzejczak

arxiv:1810.11485 v1 · 2018-10-26 · 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{XXH6CGRLTDBGFXGOHH4IKUS23H}

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	2026-05-18T00:02:08.566783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdcfe11a2b98c262dcce39f885525ad9ebfcd7b1210779aa657f51ec5b119abd

Aliases

arxiv: 1810.11485 · arxiv_version: 1810.11485v1 · doi: 10.48550/arxiv.1810.11485 · pith_short_12: XXH6CGRLTDBG · pith_short_16: XXH6CGRLTDBGFXGO · pith_short_8: XXH6CGRL

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/XXH6CGRLTDBGFXGOHH4IKUS23H \
  | 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: bdcfe11a2b98c262dcce39f885525ad9ebfcd7b1210779aa657f51ec5b119abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34475d4aed8989cd56d30587ef64f2c1a16875a00e92f25b1d303f5a03f13f6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-26T18:26:50Z",
    "title_canon_sha256": "92b6b1e3fecb530acc3e44f6ddab29e5fdb20c20cf09ee3df4f21492e2c5a1fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11485",
    "kind": "arxiv",
    "version": 1
  }
}