Pith Number

pith:CZ2SPHTE

pith:2017:CZ2SPHTECN32O4YUIAQG6BWX4F

not attested not anchored not stored refs pending

Additive Combinatorics: A Menu of Research Problems

Bela Bajnok

arxiv:1705.07444 v2 · 2017-05-21 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ2SPHTECN32O4YUIAQG6BWX4F}

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	2026-05-18T00:36:19.171118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1675279e641377a7731440206f06d7e143eee47333d11f3be8dcb8337fc15736

Aliases

arxiv: 1705.07444 · arxiv_version: 1705.07444v2 · doi: 10.48550/arxiv.1705.07444 · pith_short_12: CZ2SPHTECN32 · pith_short_16: CZ2SPHTECN32O4YU · pith_short_8: CZ2SPHTE

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/CZ2SPHTECN32O4YUIAQG6BWX4F \
  | 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: 1675279e641377a7731440206f06d7e143eee47333d11f3be8dcb8337fc15736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "731646e648ac77dbef23326ad95969e9fec412aa43fc4e85c5b0a6872dfd9ee7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-21T12:28:56Z",
    "title_canon_sha256": "707260f401566679590197f5597c778fd645d7256db3d211988b47645a3d009b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07444",
    "kind": "arxiv",
    "version": 2
  }
}