Pith Number

pith:MUWZ72MF

pith:2017:MUWZ72MF523OIQZRT3XQPGMAHO

not attested not anchored not stored refs pending

On subfiniteness of graded linear series

Hideaki Ikoma, Huayi Chen (IMJ-PRG)

arxiv:1708.00638 v2 · 2017-08-02 · math.AG · 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{MUWZ72MF523OIQZRT3XQPGMAHO}

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	2026-05-18T00:06:41.647509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652d9fe985eeb6e443319eef0799803b83cbdd7dce1accb945b4930b2b3f4a6c

Aliases

arxiv: 1708.00638 · arxiv_version: 1708.00638v2 · doi: 10.48550/arxiv.1708.00638 · pith_short_12: MUWZ72MF523O · pith_short_16: MUWZ72MF523OIQZR · pith_short_8: MUWZ72MF

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/MUWZ72MF523OIQZRT3XQPGMAHO \
  | 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: 652d9fe985eeb6e443319eef0799803b83cbdd7dce1accb945b4930b2b3f4a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f04ec486375f5f9cbcde46d5d64061dc18f2b1e4cbc9da6bd0a69f88c53dc12",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-02T08:20:04Z",
    "title_canon_sha256": "16c3a9c4a6c5cf32ab07db0dc0d42e1248dc0934170a49ff0fb8889155c3aada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00638",
    "kind": "arxiv",
    "version": 2
  }
}