Pith Number

pith:YZEXSPXV

pith:2019:YZEXSPXVX3ZQRC2WWFCORRQ5NL

not attested not anchored not stored refs pending

An application of Liaison theory to zero-dimensional schemes

Le Ngoc Long, Martin Kreuzer, Nguyen Chanh Tu, Tran N. K. Linh

arxiv:1904.00703 v1 · 2019-04-01 · 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{YZEXSPXVX3ZQRC2WWFCORRQ5NL}

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	2026-05-17T23:49:45.766330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c649793ef5bef3088b56b144e8c61d6ad6e13c095af6d10a94f38b3fb18ec110

Aliases

arxiv: 1904.00703 · arxiv_version: 1904.00703v1 · doi: 10.48550/arxiv.1904.00703 · pith_short_12: YZEXSPXVX3ZQ · pith_short_16: YZEXSPXVX3ZQRC2W · pith_short_8: YZEXSPXV

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/YZEXSPXVX3ZQRC2WWFCORRQ5NL \
  | 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: c649793ef5bef3088b56b144e8c61d6ad6e13c095af6d10a94f38b3fb18ec110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90dc1c975212bd4e2ece1b13a2b905e1bc2c90e9c66c99900f26184b9882786f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-04-01T11:33:02Z",
    "title_canon_sha256": "0693c54deaab562e369f793b55f2b627ff64051d9e0feea13fdd7b1ce81be716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00703",
    "kind": "arxiv",
    "version": 1
  }
}