Pith Number

pith:5PI3H5WP

pith:2012:5PI3H5WPDFZ2AB7PDK5E3D2OBQ

not attested not anchored not stored refs pending

The Grade Conjecture and Asymptotic Intersection Multiplicity

Jesse S. Beder

arxiv:1202.3513 v2 · 2012-02-16 · 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{5PI3H5WPDFZ2AB7PDK5E3D2OBQ}

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	2026-05-18T03:31:45.090352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd1b3f6cf1973a007ef1aba4d8f4e0c15f341b329f771cf31f1b9fc75afc92b

Aliases

arxiv: 1202.3513 · arxiv_version: 1202.3513v2 · doi: 10.48550/arxiv.1202.3513 · pith_short_12: 5PI3H5WPDFZ2 · pith_short_16: 5PI3H5WPDFZ2AB7P · pith_short_8: 5PI3H5WP

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/5PI3H5WPDFZ2AB7PDK5E3D2OBQ \
  | 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: ebd1b3f6cf1973a007ef1aba4d8f4e0c15f341b329f771cf31f1b9fc75afc92b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99700f255d2b8a708838fb1d22ebd985ded290e963ae6a1ef6ee7c045cd2d587",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-16T05:10:48Z",
    "title_canon_sha256": "cbf931b448a9dbe82ede23efd9ccd4c52dd2f1595e884cc4951d4e8a09ed69e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3513",
    "kind": "arxiv",
    "version": 2
  }
}