Pith Number

pith:MA6HUPUP

pith:2008:MA6HUPUPY6XHFAIULBB4PZAM55

not attested not anchored not stored refs pending

Popular difference sets

Tom Sanders

arxiv:0807.5106 v2 · 2008-07-31 · 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{MA6HUPUPY6XHFAIULBB4PZAM55}

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	2026-05-18T04:30:37.110828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603c7a3e8fc7ae7281145843c7e40cef5591e2ddf168549739e81917b949fee5

Aliases

arxiv: 0807.5106 · arxiv_version: 0807.5106v2 · doi: 10.48550/arxiv.0807.5106 · pith_short_12: MA6HUPUPY6XH · pith_short_16: MA6HUPUPY6XHFAIU · pith_short_8: MA6HUPUP

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/MA6HUPUPY6XHFAIULBB4PZAM55 \
  | 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: 603c7a3e8fc7ae7281145843c7e40cef5591e2ddf168549739e81917b949fee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013418db423f4b6aef1dc8ca5c5ea0840be3c34dce4e1dd2086958a1f2329b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-07-31T16:34:32Z",
    "title_canon_sha256": "a89ab3f75394c930ea90cd7e92085c17e458429888f7726b4f992cbab8bc3476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.5106",
    "kind": "arxiv",
    "version": 2
  }
}