Pith Number

pith:BXAFTLS2

pith:2012:BXAFTLS2YENHIJOBYSRTHLYNKO

not attested not anchored not stored refs pending

Inverse Erdos-Fuchs theorem for k-fold sumsets

Hao Pan, Li-Xia Dai

arxiv:1209.3233 v2 · 2012-09-14 · 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{BXAFTLS2YENHIJOBYSRTHLYNKO}

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	2026-05-18T03:41:40.077170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc059ae5ac11a7425c1c4a333af0d53b58262226ab4854047469b4f87082825

Aliases

arxiv: 1209.3233 · arxiv_version: 1209.3233v2 · doi: 10.48550/arxiv.1209.3233 · pith_short_12: BXAFTLS2YENH · pith_short_16: BXAFTLS2YENHIJOB · pith_short_8: BXAFTLS2

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/BXAFTLS2YENHIJOBYSRTHLYNKO \
  | 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: 0dc059ae5ac11a7425c1c4a333af0d53b58262226ab4854047469b4f87082825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f454efd20c284cf4c6351e8246dff2b038a65d2c72ed6008150a3c42db47c73",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-14T15:48:13Z",
    "title_canon_sha256": "62a1051ca2529e775895d08821c4cec8c60d678bb153122e6bbfb0fbdeb1664c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3233",
    "kind": "arxiv",
    "version": 2
  }
}