Pith Number

pith:QTFK7CXE

pith:2012:QTFK7CXEOXENFP75NI6X2Q7QKD

not attested not anchored not stored refs pending

Eisenstein series for infinite-dimensional U-duality groups

Axel Kleinschmidt, Philipp Fleig

arxiv:1204.3043 v2 · 2012-04-13 · hep-th · 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{QTFK7CXEOXENFP75NI6X2Q7QKD}

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	2026-05-18T01:57:52.661139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84caaf8ae475c8d2bffd6a3d7d43f050dcdd0346ca83d7bd874cc42ff900edb3

Aliases

arxiv: 1204.3043 · arxiv_version: 1204.3043v2 · doi: 10.48550/arxiv.1204.3043 · pith_short_12: QTFK7CXEOXEN · pith_short_16: QTFK7CXEOXENFP75 · pith_short_8: QTFK7CXE

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/QTFK7CXEOXENFP75NI6X2Q7QKD \
  | 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: 84caaf8ae475c8d2bffd6a3d7d43f050dcdd0346ca83d7bd874cc42ff900edb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5049ef4208af68d5f57688942e3c5cfaf8878735190ba367d019210253deaa",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-13T16:35:53Z",
    "title_canon_sha256": "0f01127b6a7b41ab48df84fceeed4f6c4051bae90612c69375414a3f7fe2e333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3043",
    "kind": "arxiv",
    "version": 2
  }
}