Pith Number

pith:B7AEQ7JP

pith:2006:B7AEQ7JPHV2WPYPJ2XV2WHIFIW

not attested not anchored not stored refs pending

A quadratic lower bound for subset sums

Bojan Mohar, Luis Goddyn, Matt DeVos, Robert Samal (Simon Fraser University)

arxiv:math/0612045 v2 · 2006-12-02 · 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{B7AEQ7JPHV2WPYPJ2XV2WHIFIW}

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	2026-05-18T01:38:23.487944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc0487d2f3d7567e1e9d5ebab1d054591fcfa3941702bb1c1f7eb88ed1361d2

Aliases

arxiv: math/0612045 · arxiv_version: math/0612045v2 · doi: 10.48550/arxiv.math/0612045 · pith_short_12: B7AEQ7JPHV2W · pith_short_16: B7AEQ7JPHV2WPYPJ · pith_short_8: B7AEQ7JP

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/B7AEQ7JPHV2WPYPJ2XV2WHIFIW \
  | 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: 0fc0487d2f3d7567e1e9d5ebab1d054591fcfa3941702bb1c1f7eb88ed1361d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "136aa86f7a059cd8d9f2b56a5d962f8b75a2672e2f844a40d2f4b34efc38f913",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-02T04:20:48Z",
    "title_canon_sha256": "12f92404d9bddf211ec862f2da8d1e9e782deb430b3450d235eda8dc889e2cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612045",
    "kind": "arxiv",
    "version": 2
  }
}