Pith Number

pith:ZQUQ3WWB

pith:2010:ZQUQ3WWBYXQMAE6S3FWIGLE755

not attested not anchored not stored refs pending

Large-Nc QCD, Harmonic Sums and the Riemann Zeros

Eduardo de Rafael

arxiv:1010.4657 v1 · 2010-10-22 · hep-th · hep-ph · math-ph · 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{ZQUQ3WWBYXQMAE6S3FWIGLE755}

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	2026-05-18T04:27:56.528538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc290ddac1c5e0c013d2d96c832c9fef4c072682411b6220a56ac38d0aa80fca

Aliases

arxiv: 1010.4657 · arxiv_version: 1010.4657v1 · doi: 10.48550/arxiv.1010.4657 · pith_short_12: ZQUQ3WWBYXQM · pith_short_16: ZQUQ3WWBYXQMAE6S · pith_short_8: ZQUQ3WWB

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/ZQUQ3WWBYXQMAE6S3FWIGLE755 \
  | 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: cc290ddac1c5e0c013d2d96c832c9fef4c072682411b6220a56ac38d0aa80fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a08d7080aa34e64742f8a6f2bba241ee6f03d34aca753574c4ef9001fb3f9e",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-22T09:48:33Z",
    "title_canon_sha256": "fe5691abc7c9a398639665779e4c57baaf9c0c2b6cfccdfecb5e91c79aa55df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4657",
    "kind": "arxiv",
    "version": 1
  }
}