Pith Number

pith:I3MNTRPR

pith:2019:I3MNTRPRXMDELTGDWCVKVUFMQR

not attested not anchored not stored refs pending

Castelnuovo-Mumford regularity and related invariants

Ngo Viet Trung

arxiv:1907.11427 v1 · 2019-07-26 · 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{I3MNTRPRXMDELTGDWCVKVUFMQR}

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	2026-05-17T23:39:29.112829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d8d9c5f1bb0645ccc3b0aaaad0ac846919bb55f3b44bab7d652b2ceb880122

Aliases

arxiv: 1907.11427 · arxiv_version: 1907.11427v1 · doi: 10.48550/arxiv.1907.11427 · pith_short_12: I3MNTRPRXMDE · pith_short_16: I3MNTRPRXMDELTGD · pith_short_8: I3MNTRPR

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/I3MNTRPRXMDELTGDWCVKVUFMQR \
  | 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: 46d8d9c5f1bb0645ccc3b0aaaad0ac846919bb55f3b44bab7d652b2ceb880122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062dfb0ab9953e0d12cfa9376fe742b2fe9e16aefd9e21a7b8688681736bc1d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-26T08:32:50Z",
    "title_canon_sha256": "3fa488ba7e047a27a998b779a4427d3306e550db6fed0966a68a95f28e05eb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11427",
    "kind": "arxiv",
    "version": 1
  }
}