Pith Number

pith:MYBFJWAF

pith:2006:MYBFJWAFK3DPT3WBJBVXKDDI2P

not attested not anchored not stored refs pending

Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals

L\^e Tu\^an Hoa

arxiv:math/0608118 v1 · 2006-08-04 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYBFJWAFK3DPT3WBJBVXKDDI2P}

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	2026-05-18T00:05:15.217067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660254d80556c6f9eec1486b750c68d3dfe22410078099cd2f44c45ecdab34ed

Aliases

arxiv: math/0608118 · arxiv_version: math/0608118v1 · doi: 10.48550/arxiv.math/0608118 · pith_short_12: MYBFJWAFK3DP · pith_short_16: MYBFJWAFK3DPT3WB · pith_short_8: MYBFJWAF

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/MYBFJWAFK3DPT3WBJBVXKDDI2P \
  | 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: 660254d80556c6f9eec1486b750c68d3dfe22410078099cd2f44c45ecdab34ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0497a89abc50a4577fe1cc425f46ace119cdcfce66b04e1756aff35ade1864cd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2006-08-04T05:30:13Z",
    "title_canon_sha256": "9ff6bafca4c9c342b38c408b666572e1a6aba6f01501a7a0d8a678b5b4805376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608118",
    "kind": "arxiv",
    "version": 1
  }
}