Pith Number

pith:4VCMSCAN

pith:2000:4VCMSCAN5N6T2Q7PURW5H5SDQA

not attested not anchored not stored refs pending

Rank one discrete valuations of $k((X_1,...X_n))$

M.A. Olalla Acosta

arxiv:math/0010313 v2 · 2000-10-31 · 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{4VCMSCAN5N6T2Q7PURW5H5SDQA}

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	2026-05-18T03:59:27.768694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e544c9080deb7d3d43efa46dd3f643803fa29e157ec4db505175e3c285dc147f

Aliases

arxiv: math/0010313 · arxiv_version: math/0010313v2 · doi: 10.48550/arxiv.math/0010313 · pith_short_12: 4VCMSCAN5N6T · pith_short_16: 4VCMSCAN5N6T2Q7P · pith_short_8: 4VCMSCAN

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/4VCMSCAN5N6T2Q7PURW5H5SDQA \
  | 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: e544c9080deb7d3d43efa46dd3f643803fa29e157ec4db505175e3c285dc147f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b51a1dc5bc9b3e1f156a3612fa55c7410ff51dd83fda78d6731136c8d9cf6c07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2000-10-31T10:10:39Z",
    "title_canon_sha256": "f85e752a2786fb84e935269430d23c20d26a8de2b2c19bc0f691bb4a93cf9f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010313",
    "kind": "arxiv",
    "version": 2
  }
}