Pith Number

pith:NYP6UJPH

pith:2025:NYP6UJPHDCMYFPCUVOLOPSF5H4

not attested not anchored not stored refs pending

Effective termination of general type MMPs in dimension at most five

Jihao Liu, Jingjun Han, Ziquan Zhuang

arxiv:2509.01501 v1 · 2025-09-01 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NYP6UJPHDCMYFPCUVOLOPSF5H4}

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	2026-07-05T12:03:02.114081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e1fea25e7189982bc54ab96e7c8bd3f31e91af41820b604f481b80da8395734

Aliases

arxiv: 2509.01501 · arxiv_version: 2509.01501v1 · doi: 10.48550/arxiv.2509.01501 · pith_short_12: NYP6UJPHDCMY · pith_short_16: NYP6UJPHDCMYFPCU · pith_short_8: NYP6UJPH

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/NYP6UJPHDCMYFPCUVOLOPSF5H4 \
  | 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: 6e1fea25e7189982bc54ab96e7c8bd3f31e91af41820b604f481b80da8395734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a88b7df2b275be74d8f2cd8d95eeee8d7165712c64e78f6d05c47000853a89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-01T14:20:56Z",
    "title_canon_sha256": "9943c896352955b2e4e66956025563cefbe181301b677a79ff2c102680893e03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01501",
    "kind": "arxiv",
    "version": 1
  }
}