Pith Number

pith:TCKKABD4

pith:2013:TCKKABD4WCO4V7KF6VZLKTHJ3V

not attested not anchored not stored refs pending

On hyperderivatives of single-cuspidal Drinfeld modular forms with A-expansions

Aleksandar Petrov

arxiv:1310.1633 v4 · 2013-10-06 · 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{TCKKABD4WCO4V7KF6VZLKTHJ3V}

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	2026-05-18T02:41:42.131788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9894a0047cb09dcafd45f572b54ce9dd7477e6aed61231d02085b74934367e3f

Aliases

arxiv: 1310.1633 · arxiv_version: 1310.1633v4 · doi: 10.48550/arxiv.1310.1633 · pith_short_12: TCKKABD4WCO4 · pith_short_16: TCKKABD4WCO4V7KF · pith_short_8: TCKKABD4

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/TCKKABD4WCO4V7KF6VZLKTHJ3V \
  | 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: 9894a0047cb09dcafd45f572b54ce9dd7477e6aed61231d02085b74934367e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bc5d9543d2303113e2f1dad7e6d4049e5c44026fc29e3e6d9801aa720136dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-06T21:20:01Z",
    "title_canon_sha256": "9717230a3aa9af2059a5ceef68ae8d0d70d3b518be0e4cad778012defa36bf3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1633",
    "kind": "arxiv",
    "version": 4
  }
}