Pith Number

pith:75EYMRD7

pith:2008:75EYMRD7RNZTNLUAN2DH22Q63W

not attested not anchored not stored refs pending

Asymptotically tight bounds on subset sums

Simon Griffiths

arxiv:0806.0092 v1 · 2008-05-31 · 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{75EYMRD7RNZTNLUAN2DH22Q63W}

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	2026-05-18T02:15:52.075483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4986447f8b7336ae806e867d6a1edd990c4d99c34c73e0474277ca2c40b2d9

Aliases

arxiv: 0806.0092 · arxiv_version: 0806.0092v1 · doi: 10.48550/arxiv.0806.0092 · pith_short_12: 75EYMRD7RNZT · pith_short_16: 75EYMRD7RNZTNLUA · pith_short_8: 75EYMRD7

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/75EYMRD7RNZTNLUAN2DH22Q63W \
  | 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: ff4986447f8b7336ae806e867d6a1edd990c4d99c34c73e0474277ca2c40b2d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d7b2f2d471c438738505e0e806663f12479e8bd287a287fb5cf9d8d2ffcb14",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-31T16:35:34Z",
    "title_canon_sha256": "c3673c053da349224e00a101920fb3430487c6ffae1524aca581c7c34d43577b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0092",
    "kind": "arxiv",
    "version": 1
  }
}