pith. sign in
Pith Number

pith:Z6FRUQ2B

pith:2013:Z6FRUQ2BGPFGF4D6B5NRKV6TLL
not attested not anchored not stored refs pending

Sums of units in function fields

Christopher Frei

arxiv:1311.4676 v1 · 2013-11-19 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z6FRUQ2BGPFGF4D6B5NRKV6TLL}

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 2026-05-18T03:06:43.737020Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf8b1a434133ca62f07e0f5b1557d35ac04f6c5dbdfc91c764a10b9abc4583e9

Aliases

arxiv: 1311.4676 · arxiv_version: 1311.4676v1 · doi: 10.48550/arxiv.1311.4676 · pith_short_12: Z6FRUQ2BGPFG · pith_short_16: Z6FRUQ2BGPFGF4D6 · pith_short_8: Z6FRUQ2B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z6FRUQ2BGPFGF4D6B5NRKV6TLL \
  | 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: cf8b1a434133ca62f07e0f5b1557d35ac04f6c5dbdfc91c764a10b9abc4583e9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b0a43caa986080950237cb8824a48621dae6d6cf2362bc218280953d2ad5ed04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-19T10:11:23Z",
    "title_canon_sha256": "0a52cfc12dc922a3f2235779eabb030b926f2c7a80dfe02caec3e12a64a366f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4676",
    "kind": "arxiv",
    "version": 1
  }
}