Pith Number

pith:7TE3IUMO

pith:2023:7TE3IUMO5UJSUAZEFS7IFQNBLW

not attested not anchored not stored refs pending

Controlling Formal Fibers of Countably Many Principal Prime Ideals

Ammar Eltigani, AnaMaria Perez, David Baron, M. Teplitskiy, S. Loepp

arxiv:2311.15797 v1 · 2023-11-27 · 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{7TE3IUMO5UJSUAZEFS7IFQNBLW}

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	2026-07-05T07:17:09.667413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc9b4518eed132a03242cbe82c1a15d931fe9373a2b31ebb099caa4324924b0

Aliases

arxiv: 2311.15797 · arxiv_version: 2311.15797v1 · doi: 10.48550/arxiv.2311.15797 · pith_short_12: 7TE3IUMO5UJS · pith_short_16: 7TE3IUMO5UJSUAZE · pith_short_8: 7TE3IUMO

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/7TE3IUMO5UJSUAZEFS7IFQNBLW \
  | 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: fcc9b4518eed132a03242cbe82c1a15d931fe9373a2b31ebb099caa4324924b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6720b94269fc952ea2fda60073890b023466bcf0e25ce1eee9dc9dd30e62c2a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-11-27T13:20:24Z",
    "title_canon_sha256": "62dd6192ad9d6ea4167b248e7d6f1470ad65bad49b658204550eb3789fe5515e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15797",
    "kind": "arxiv",
    "version": 1
  }
}