Pith Number

pith:7YKDTXVG

pith:2013:7YKDTXVGJC6TUQBHSDR242YGDM

not attested not anchored not stored refs pending

Computing Class Groups of Function Fields Using Stark Units

Anand Kumar Narayanan, Ming-Deh Huang

arxiv:1311.0560 v2 · 2013-11-04 · 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{7YKDTXVGJC6TUQBHSDR242YGDM}

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	2026-05-18T02:55:30.202122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1439dea648bd3a402790e3ae6b061b264b37b41da9b7f48d48731bf523e0cc

Aliases

arxiv: 1311.0560 · arxiv_version: 1311.0560v2 · doi: 10.48550/arxiv.1311.0560 · pith_short_12: 7YKDTXVGJC6T · pith_short_16: 7YKDTXVGJC6TUQBH · pith_short_8: 7YKDTXVG

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/7YKDTXVGJC6TUQBHSDR242YGDM \
  | 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: fe1439dea648bd3a402790e3ae6b061b264b37b41da9b7f48d48731bf523e0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b054b1d0acc54179834c41c4c1a0936db5226f66d32386ebdf0839aab19dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-04T01:35:55Z",
    "title_canon_sha256": "7d12e8ac07675df15f54e216a35a1af66c7e81ec70b7efb0a50751b964b26e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0560",
    "kind": "arxiv",
    "version": 2
  }
}