Pith Number

pith:ZAFHRGAB

pith:2024:ZAFHRGABYQXG6OQDLDNWCY5BFP

not attested not anchored not stored refs pending

On the mean $\Psi$-intermediate dimensions

Bilel Selmi, Yu Liu, Zhiming Li

arxiv:2407.09843 v1 · 2024-07-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAFHRGABYQXG6OQDLDNWCY5BFP}

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	2026-07-05T08:43:35.450292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80a789801c42e6f3a0358db6163a12bf9be9173bde065b6324023c5619d4a00

Aliases

arxiv: 2407.09843 · arxiv_version: 2407.09843v1 · doi: 10.48550/arxiv.2407.09843 · pith_short_12: ZAFHRGABYQXG · pith_short_16: ZAFHRGABYQXG6OQD · pith_short_8: ZAFHRGAB

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/ZAFHRGABYQXG6OQDLDNWCY5BFP \
  | 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: c80a789801c42e6f3a0358db6163a12bf9be9173bde065b6324023c5619d4a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dec18828e4e1c0d352e485e468f92960f1446fea114e9843dcbc5bdc4a7bd80",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-07-13T10:40:12Z",
    "title_canon_sha256": "927fb94cdbb239095f253902790080f1aaa83ee298e79ed0f79df9bc579afbaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09843",
    "kind": "arxiv",
    "version": 1
  }
}