Pith Number

pith:EQDL33OA

pith:2007:EQDL33OA4AE43KROFG65WSA3J3

not attested not anchored not stored refs pending

Arithmetic progressions in sets of fractional dimension

Izabella Laba, Malabika Pramanik

arxiv:0712.3882 v2 · 2007-12-22 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQDL33OA4AE43KROFG65WSA3J3}

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	2026-05-18T03:21:32.211658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2406bdedc0e009cdaa2e29bddb481b4ed890758d7362cd31c886cca2b99c3fb3

Aliases

arxiv: 0712.3882 · arxiv_version: 0712.3882v2 · doi: 10.48550/arxiv.0712.3882 · pith_short_12: EQDL33OA4AE4 · pith_short_16: EQDL33OA4AE43KRO · pith_short_8: EQDL33OA

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/EQDL33OA4AE43KROFG65WSA3J3 \
  | 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: 2406bdedc0e009cdaa2e29bddb481b4ed890758d7362cd31c886cca2b99c3fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f914e67eebc52bbb1f85768bdf9baacb6d2fb18b73e23280af8cde93dcbfe5ef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-12-22T22:13:13Z",
    "title_canon_sha256": "2e7a7d569e42890a291f8c205093a06b35cc3adfdafc0ba2e1557b7f08ee92e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3882",
    "kind": "arxiv",
    "version": 2
  }
}