Pith Number

pith:PNJC4O4C

pith:2016:PNJC4O4CGDTQQSE365QPSWFX5X

not attested not anchored not stored refs pending

Completely Controlling the Dimensions of Formal Fiber Rings at Prime Ideals of Small Height

David Schwein, Lena Ji, Nina Pande, Peter M. McDonald, Sarah M. Fleming, S. Loepp

arxiv:1604.04176 v1 · 2016-04-14 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNJC4O4CGDTQQSE365QPSWFX5X}

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	2026-05-18T01:17:06.319068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b522e3b8230e708489bf760f958b7edefd6fbdaa98c604b5d0f9806456a31aa

Aliases

arxiv: 1604.04176 · arxiv_version: 1604.04176v1 · doi: 10.48550/arxiv.1604.04176 · pith_short_12: PNJC4O4CGDTQ · pith_short_16: PNJC4O4CGDTQQSE3 · pith_short_8: PNJC4O4C

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/PNJC4O4CGDTQQSE365QPSWFX5X \
  | 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: 7b522e3b8230e708489bf760f958b7edefd6fbdaa98c604b5d0f9806456a31aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606b3876446ded25463982081d741bfee42d4e320635b66f876402d2d989726a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-14T14:52:45Z",
    "title_canon_sha256": "597063f6ab3a1e40bb8b59d04c568a9a63c82f91faa4f44df3952c5f7eeebbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04176",
    "kind": "arxiv",
    "version": 1
  }
}