Pith Number

pith:7ROA432L

pith:2013:7ROA432L7SBL65FFBSPEZ3XDGC

not attested not anchored not stored refs pending

Counting sets with small sumset and applications

Ben Green, Robert Morris

arxiv:1305.3079 v2 · 2013-05-14 · 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{7ROA432L7SBL65FFBSPEZ3XDGC}

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	2026-05-18T03:00:14.718491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5c0e6f4bfc82bf74a50c9e4ceee33082db78385b67c347c5a6aee4d77acc4a

Aliases

arxiv: 1305.3079 · arxiv_version: 1305.3079v2 · doi: 10.48550/arxiv.1305.3079 · pith_short_12: 7ROA432L7SBL · pith_short_16: 7ROA432L7SBL65FF · pith_short_8: 7ROA432L

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/7ROA432L7SBL65FFBSPEZ3XDGC \
  | 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: fc5c0e6f4bfc82bf74a50c9e4ceee33082db78385b67c347c5a6aee4d77acc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f98130153b9ecf81a7bb19cbcfed6d899b0495a8d5c21367fe31c3c3bbbb16da",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-14T09:42:47Z",
    "title_canon_sha256": "abcb1858bdb1b957bf038f9285ea8d87ec2fba012a8c3101ac9a2cadb8ca5251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3079",
    "kind": "arxiv",
    "version": 2
  }
}