Pith Number

pith:TP3TNXS4

pith:2006:TP3TNXS4GN3O3TJ3JYVGN2L6PA

not attested not anchored not stored refs pending

An additive theorem and restricted sumsets

Zhi-Wei Sun

arxiv:math/0610981 v7 · 2006-10-31 · 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{TP3TNXS4GN3O3TJ3JYVGN2L6PA}

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	2026-07-04T15:33:21.303102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf736de5c3376edcd3b4e2a66e97e7831a477f9605488075f77517c99a7f518

Aliases

arxiv: math/0610981 · arxiv_version: math/0610981v7 · doi: 10.48550/arxiv.math/0610981 · pith_short_12: TP3TNXS4GN3O · pith_short_16: TP3TNXS4GN3O3TJ3 · pith_short_8: TP3TNXS4

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/TP3TNXS4GN3O3TJ3JYVGN2L6PA \
  | 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: 9bf736de5c3376edcd3b4e2a66e97e7831a477f9605488075f77517c99a7f518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a397f733f5903e751ebbb227ee7c816f4a4c672b10bce691bc7ce3d3f0d866",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2006-10-31T18:45:27Z",
    "title_canon_sha256": "a242c936ba64f04ae6910106b1566a73da8b3af693191d6e7c506f636cc164ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610981",
    "kind": "arxiv",
    "version": 7
  }
}