Pith Number

pith:PUVY2KGY

pith:2010:PUVY2KGYH5SKZMKZOJ2X4SWMFS

not attested not anchored not stored refs pending

Eisenstein series for higher-rank groups and string theory amplitudes

Jorge G. Russo, Michael B. Green, Pierre Vanhove, Stephen D. Miller

arxiv:1004.0163 v4 · 2010-04-01 · hep-th · math-ph · math.MP · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUVY2KGYH5SKZMKZOJ2X4SWMFS}

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

Some Properties and Uses of the Species Scale

Receipt and verification

First computed	2026-05-18T02:24:18.161710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2b8d28d83f64acb15972757e4acc2cb7bc7e47851c9ac59b9aa1ed3af8b0a7

Aliases

arxiv: 1004.0163 · arxiv_version: 1004.0163v4 · doi: 10.48550/arxiv.1004.0163 · pith_short_12: PUVY2KGYH5SK · pith_short_16: PUVY2KGYH5SKZMKZ · pith_short_8: PUVY2KGY

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/PUVY2KGYH5SKZMKZOJ2X4SWMFS \
  | 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: 7d2b8d28d83f64acb15972757e4acc2cb7bc7e47851c9ac59b9aa1ed3af8b0a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ac28585a1f7ee35c93f27838326f2cbbfe4b9fc118aded251087b4adc597eb2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-01T15:52:11Z",
    "title_canon_sha256": "0980017abce2bb4f24c50ad3ed4914bca8d6d7ec54a56a8543883e5c78366783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0163",
    "kind": "arxiv",
    "version": 4
  }
}