Pith Number

pith:MU3DTNQT

pith:2014:MU3DTNQTLTKUN6SDAPFFZ43UBV

not attested not anchored not stored refs pending

Valuative multiplier ideals

Zhengyu Hu

arxiv:1406.1060 v1 · 2014-06-04 · 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{MU3DTNQTLTKUN6SDAPFFZ43UBV}

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	2026-05-18T02:50:30.426633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653639b6135cd546fa4303ca5cf3740d4cf3fb23be3bf35117f3266d35e18d04

Aliases

arxiv: 1406.1060 · arxiv_version: 1406.1060v1 · doi: 10.48550/arxiv.1406.1060 · pith_short_12: MU3DTNQTLTKU · pith_short_16: MU3DTNQTLTKUN6SD · pith_short_8: MU3DTNQT

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/MU3DTNQTLTKUN6SDAPFFZ43UBV \
  | 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: 653639b6135cd546fa4303ca5cf3740d4cf3fb23be3bf35117f3266d35e18d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "320f9626f0350d68d1cd50e139e2329fc2ab408993cad5f1a1092658aa03673f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-04T14:41:27Z",
    "title_canon_sha256": "bccdd8f80b39e45676f6921a7054daa4ba366509cde943d643ac49d66f6ca607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1060",
    "kind": "arxiv",
    "version": 1
  }
}