Pith Number

pith:DROZHEXI

pith:2014:DROZHEXITFPZAYLIZUDM5UTIQL

not attested not anchored not stored refs pending

Affine schemes and topological closures in the Zariski-Riemann space of valuation rings

Bruce Olberding

arxiv:1409.5113 v1 · 2014-09-17 · 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{DROZHEXITFPZAYLIZUDM5UTIQL}

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	2026-05-18T02:42:37.797195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5d9392e8995f906168cd06ced26882e0133a730eb1c1666c694902110671a2

Aliases

arxiv: 1409.5113 · arxiv_version: 1409.5113v1 · doi: 10.48550/arxiv.1409.5113 · pith_short_12: DROZHEXITFPZ · pith_short_16: DROZHEXITFPZAYLI · pith_short_8: DROZHEXI

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/DROZHEXITFPZAYLIZUDM5UTIQL \
  | 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: 1c5d9392e8995f906168cd06ced26882e0133a730eb1c1666c694902110671a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfa956c2f7d2c37cb7d120e49f1a29a10064f40825776bd6e086bd14cd5a9cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-17T19:49:38Z",
    "title_canon_sha256": "b4ad81524b41ff1e31b05e8a6ae796ebd87155fcebf2bf0d336a71fdadd8866a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5113",
    "kind": "arxiv",
    "version": 1
  }
}