Pith Number

pith:DBDKKUM7

pith:2013:DBDKKUM7U6DTPERQAZF35KYIMB

not attested not anchored not stored refs pending

Simplifying Multiple Sums in Difference Fields

Carsten Schneider

arxiv:1304.4134 v1 · 2013-04-15 · cs.SC · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBDKKUM7U6DTPERQAZF35KYIMB}

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	2026-05-18T03:27:53.658375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1846a5519fa787379230064bbeab08605a02e76bd7d5c7b0f1710e542392d2d2

Aliases

arxiv: 1304.4134 · arxiv_version: 1304.4134v1 · doi: 10.48550/arxiv.1304.4134 · pith_short_12: DBDKKUM7U6DT · pith_short_16: DBDKKUM7U6DTPERQ · pith_short_8: DBDKKUM7

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/DBDKKUM7U6DTPERQAZF35KYIMB \
  | 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: 1846a5519fa787379230064bbeab08605a02e76bd7d5c7b0f1710e542392d2d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72bc08fbf3ecfd9fd10a6084468a2257269681c3ed8a8f1be6b9248a25318ecc",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-04-15T15:37:44Z",
    "title_canon_sha256": "ba20ad0207861695c08e6f34a0633b2425ce29ea1b3909dfaf0dd7606485775c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4134",
    "kind": "arxiv",
    "version": 1
  }
}