Pith Number

pith:TFO5GZQZ

pith:2013:TFO5GZQZ6ZMBQKOQ35MJKCB76S

not attested not anchored not stored refs pending

Krull dimension of monomial ideals in polynomial rings with real exponents

Sean Sather-Wagstaff, Zechariah Andersen

arxiv:1305.5460 v2 · 2013-05-23 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFO5GZQZ6ZMBQKOQ35MJKCB76S}

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	2026-05-18T03:03:54.762473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995dd36619f6581829d0df5895083ff4b77edbab2843e311e0946643c8588ef8

Aliases

arxiv: 1305.5460 · arxiv_version: 1305.5460v2 · doi: 10.48550/arxiv.1305.5460 · pith_short_12: TFO5GZQZ6ZMB · pith_short_16: TFO5GZQZ6ZMBQKOQ · pith_short_8: TFO5GZQZ

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/TFO5GZQZ6ZMBQKOQ35MJKCB76S \
  | 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: 995dd36619f6581829d0df5895083ff4b77edbab2843e311e0946643c8588ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3860ba44983b5d20d33d21afd86083559d02360ffdd9b538832b345258d5a95",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-23T15:37:27Z",
    "title_canon_sha256": "63b690f8ee995dfa9dee0a01a443fca0046be4c92dbe75b795326e8c76996008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5460",
    "kind": "arxiv",
    "version": 2
  }
}