Pith Number

pith:S4KD7RYE

pith:2009:S4KD7RYE7T6GDCMZNPFHN66EWW

not attested not anchored not stored refs pending

A Symbolic Summation Approach to Find Optimal Nested Sum Representations

Carsten Schneider

arxiv:0904.2323 v1 · 2009-04-15 · cs.SC · 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{S4KD7RYE7T6GDCMZNPFHN66EWW}

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.

Cited by

1 paper in Pith

The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

Receipt and verification

First computed	2026-07-04T15:41:13.402450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97143fc704fcfc6189996bca76fbc4b5ae60ff3af854b92fff56ccfe0df35b5a

Aliases

arxiv: 0904.2323 · arxiv_version: 0904.2323v1 · doi: 10.48550/arxiv.0904.2323 · pith_short_12: S4KD7RYE7T6G · pith_short_16: S4KD7RYE7T6GDCMZ · pith_short_8: S4KD7RYE

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/S4KD7RYE7T6GDCMZNPFHN66EWW \
  | 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: 97143fc704fcfc6189996bca76fbc4b5ae60ff3af854b92fff56ccfe0df35b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6455791e71ef0947392649eb90976b03587f3e5d89bef07c562ed201ce5bcbe",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2009-04-15T14:00:07Z",
    "title_canon_sha256": "917edd30738937b86e229dc7ebf2b349ee2a3e21cd708e671696ffbe7ff0f55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2323",
    "kind": "arxiv",
    "version": 1
  }
}