Pith Number

pith:MKS7UIRN

pith:2012:MKS7UIRNWFRYDJSNHPWOQHFCEO

not attested not anchored not stored refs pending

Numerical Macaulification

Juan Migliore, Uwe Nagel

arxiv:1202.2275 v1 · 2012-02-10 · 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{MKS7UIRNWFRYDJSNHPWOQHFCEO}

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	2026-05-18T04:02:36.783856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a5fa222db16381a64d3bece81ca223bf7235e5b036ac5100f47ed7cd2f9716

Aliases

arxiv: 1202.2275 · arxiv_version: 1202.2275v1 · doi: 10.48550/arxiv.1202.2275 · pith_short_12: MKS7UIRNWFRY · pith_short_16: MKS7UIRNWFRYDJSN · pith_short_8: MKS7UIRN

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/MKS7UIRNWFRYDJSNHPWOQHFCEO \
  | 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: 62a5fa222db16381a64d3bece81ca223bf7235e5b036ac5100f47ed7cd2f9716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f4dfae8b1549e64feb46a145e81b10ffb7b21a5cf6d9047d763541b6c68b3b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-10T14:50:45Z",
    "title_canon_sha256": "849546e037e6df45b68e700a643322b1925d81feb5676c1e928bb4b2d9157b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2275",
    "kind": "arxiv",
    "version": 1
  }
}