Pith Number

pith:VGCFUFZ7

pith:2013:VGCFUFZ7TFZUB4TMUHMFQOBHVC

not attested not anchored not stored refs pending

Sums of units in function fields II - The extension problem

Christopher Frei

arxiv:1311.4683 v1 · 2013-11-19 · 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{VGCFUFZ7TFZUB4TMUHMFQOBHVC}

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	2026-05-18T03:06:43.723996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9845a173f997340f26ca1d8583827a8aeb245ac791c7de6d009c79d073f4b03

Aliases

arxiv: 1311.4683 · arxiv_version: 1311.4683v1 · doi: 10.48550/arxiv.1311.4683 · pith_short_12: VGCFUFZ7TFZU · pith_short_16: VGCFUFZ7TFZUB4TM · pith_short_8: VGCFUFZ7

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/VGCFUFZ7TFZUB4TMUHMFQOBHVC \
  | 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: a9845a173f997340f26ca1d8583827a8aeb245ac791c7de6d009c79d073f4b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f0f654a15d88a3407bf2ba3a59ccce54d4679dc35822004d0ae9f5c0a14168",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-19T10:35:41Z",
    "title_canon_sha256": "fc2fa2e40bc754cf5e3ec07646ba44ca1ab06f61463538cd988ea08b31c3988b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4683",
    "kind": "arxiv",
    "version": 1
  }
}