Pith Number

pith:UAYPH4EP

pith:2013:UAYPH4EPTXD5M5ECJSCZTT5Z5N

not attested not anchored not stored refs pending

Ramification of local rings along valuations

Pham An Vinh, Steven Dale Cutkosky

arxiv:1309.0135 v1 · 2013-08-31 · 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{UAYPH4EPTXD5M5ECJSCZTT5Z5N}

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	2026-05-18T03:14:28.761180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a030f3f08f9dc7d674824c8599cfb9eb4941fd0121ee4b002fdad27c716c7429

Aliases

arxiv: 1309.0135 · arxiv_version: 1309.0135v1 · doi: 10.48550/arxiv.1309.0135 · pith_short_12: UAYPH4EPTXD5 · pith_short_16: UAYPH4EPTXD5M5EC · pith_short_8: UAYPH4EP

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/UAYPH4EPTXD5M5ECJSCZTT5Z5N \
  | 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: a030f3f08f9dc7d674824c8599cfb9eb4941fd0121ee4b002fdad27c716c7429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce78ec38b95ede16c45fa9a69fbb24d4495e92b4ef0daae8a87e1706c1d3560a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-31T17:06:01Z",
    "title_canon_sha256": "c0eea5d59ef7bb2cc79b25a4260b467408f0c32bd52947f1014e7bc0d8234e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0135",
    "kind": "arxiv",
    "version": 1
  }
}