Pith Number

pith:QCRNUGFG

pith:2008:QCRNUGFGE7TN577FBEZMV3MB5H

not attested not anchored not stored refs pending

A Refined Difference Field Theory for Symbolic Summation

Carsten Schneider

arxiv:0808.2543 v1 · 2008-08-19 · 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{QCRNUGFGE7TN577FBEZMV3MB5H}

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	2026-07-04T15:13:58.761510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a2da18a627e6deffe50932caed81e9cc4b0ba0ff2a8bc35867be3c96dfd5bb

Aliases

arxiv: 0808.2543 · arxiv_version: 0808.2543v1 · doi: 10.48550/arxiv.0808.2543 · pith_short_12: QCRNUGFGE7TN · pith_short_16: QCRNUGFGE7TN577F · pith_short_8: QCRNUGFG

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/QCRNUGFGE7TN577FBEZMV3MB5H \
  | 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: 80a2da18a627e6deffe50932caed81e9cc4b0ba0ff2a8bc35867be3c96dfd5bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ad7f8b8c3736d311d5b25a7948a41fb60680cc7988cc0ed966b96121187883",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2008-08-19T07:46:04Z",
    "title_canon_sha256": "0c66f7a9697ce79798c40b3d8de4da1403304ef040a49f8e453628bc2b35033b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2543",
    "kind": "arxiv",
    "version": 1
  }
}