Pith Number

pith:5IALPGAP

pith:2015:5IALPGAPTMVFOC6GSWF76ZS3W3

not attested not anchored not stored refs pending

On a question of A. Balog

Ilya D. Shkredov

arxiv:1501.07498 v1 · 2015-01-29 · math.CO · 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{5IALPGAPTMVFOC6GSWF76ZS3W3}

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	2026-05-18T02:28:21.780224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea00b7980f9b2a570bc6958bff665bb6d33bc690c50dab1079dbdc45a600b629

Aliases

arxiv: 1501.07498 · arxiv_version: 1501.07498v1 · doi: 10.48550/arxiv.1501.07498 · pith_short_12: 5IALPGAPTMVF · pith_short_16: 5IALPGAPTMVFOC6G · pith_short_8: 5IALPGAP

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/5IALPGAPTMVFOC6GSWF76ZS3W3 \
  | 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: ea00b7980f9b2a570bc6958bff665bb6d33bc690c50dab1079dbdc45a600b629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c67f0dac2fd3644c8a5a9e6a2a33b7bdc90c13fa4550a6be8015cd71b5cffa1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-29T16:21:18Z",
    "title_canon_sha256": "564593d15ecd78ca6485eeb21ba87732b64c97176434fd964b877b38030afe7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07498",
    "kind": "arxiv",
    "version": 1
  }
}