Pith Number

pith:VB4ITHAQ

pith:2024:VB4ITHAQ3VBSM7LRZ44DPJYRUZ

not attested not anchored not stored refs pending

Intermediate dimensions of complementary sets

Nicolas Angelini, Ursula Molter

arxiv:2412.12999 v3 · 2024-12-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VB4ITHAQ3VBSM7LRZ44DPJYRUZ}

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	2026-06-03T14:05:16.210681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a878899c10dd43267d71cf3837a711a64b4371aa5dbc0f483552f304c0b1f484

Aliases

arxiv: 2412.12999 · arxiv_version: 2412.12999v3 · doi: 10.48550/arxiv.2412.12999 · pith_short_12: VB4ITHAQ3VBS · pith_short_16: VB4ITHAQ3VBSM7LR · pith_short_8: VB4ITHAQ

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/VB4ITHAQ3VBSM7LRZ44DPJYRUZ \
  | 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: a878899c10dd43267d71cf3837a711a64b4371aa5dbc0f483552f304c0b1f484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2213bd8066f89b9e9dcdd97838d1630461407e309c9e7dd4b9dc8c75386131",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-17T15:23:54Z",
    "title_canon_sha256": "086d25ed32a95aa80bdf1b82a9e1827d5e8d5de606005d66c0d7283de94adfca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12999",
    "kind": "arxiv",
    "version": 3
  }
}