Pith Number

pith:MJPGVLSO

pith:2012:MJPGVLSO7RRXZSSF4BVDVGKFNZ

not attested not anchored not stored refs pending

The Cone of Hilbert Functions in the non-standard graded Case

Daniel Brinkmann, Marianne Merz

arxiv:1201.1555 v2 · 2012-01-07 · 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{MJPGVLSO7RRXZSSF4BVDVGKFNZ}

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	2026-05-18T04:03:44.921516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

625e6aae4efc637cca45e06a3a99456e418d831d706a45729f54f377a3f90afc

Aliases

arxiv: 1201.1555 · arxiv_version: 1201.1555v2 · doi: 10.48550/arxiv.1201.1555 · pith_short_12: MJPGVLSO7RRX · pith_short_16: MJPGVLSO7RRXZSSF · pith_short_8: MJPGVLSO

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/MJPGVLSO7RRXZSSF4BVDVGKFNZ \
  | 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: 625e6aae4efc637cca45e06a3a99456e418d831d706a45729f54f377a3f90afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7cd3feb78b0a8553d12e2095d8f04bffd988bcd072f1010abeb8f9f108abe58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-07T13:20:02Z",
    "title_canon_sha256": "f66ab898f7684475d002436adab50318143fbf9ee6e3b9a4194ae32fa0a2191a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1555",
    "kind": "arxiv",
    "version": 2
  }
}