Pith Number

pith:4GUN2S3S

pith:2015:4GUN2S3SEPGUPQ7IOBGMB5Q7UI

not attested not anchored not stored refs pending

Extractions: Computable and Visible Analogues of Localizations for Polynomial Ideals

Ye Liang

arxiv:1502.03967 v1 · 2015-02-13 · cs.SC · 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{4GUN2S3SEPGUPQ7IOBGMB5Q7UI}

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	2026-05-18T02:27:06.866242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a8dd4b7223cd47c3e8704cc0f61fa2357ce3c7ba243e868eb88930bc04664a

Aliases

arxiv: 1502.03967 · arxiv_version: 1502.03967v1 · doi: 10.48550/arxiv.1502.03967 · pith_short_12: 4GUN2S3SEPGU · pith_short_16: 4GUN2S3SEPGUPQ7I · pith_short_8: 4GUN2S3S

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/4GUN2S3SEPGUPQ7IOBGMB5Q7UI \
  | 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: e1a8dd4b7223cd47c3e8704cc0f61fa2357ce3c7ba243e868eb88930bc04664a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169324fea8007a1d73eec67eaccbf179dc4839aecc96f238e92b04063ea4d1dd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-02-13T12:52:45Z",
    "title_canon_sha256": "4aae204e8641665ccc791ed466f2058ff107a9a62365c72c264029b7c0dd22c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03967",
    "kind": "arxiv",
    "version": 1
  }
}