Pith Number

pith:TZRF2ULS

pith:2018:TZRF2ULSTZOLPQVGHWJ7CSOMRE

not attested not anchored not stored refs pending

Note on lower estimates of multiplicities

Atsushi Moriwaki

arxiv:1801.00525 v1 · 2018-01-01 · 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{TZRF2ULSTZOLPQVGHWJ7CSOMRE}

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	2026-05-18T00:26:53.131168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e625d51729e5cb7c2a63d93f149cc8928ab5c5fa722b37189355211c1bd00ca

Aliases

arxiv: 1801.00525 · arxiv_version: 1801.00525v1 · doi: 10.48550/arxiv.1801.00525 · pith_short_12: TZRF2ULSTZOL · pith_short_16: TZRF2ULSTZOLPQVG · pith_short_8: TZRF2ULS

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/TZRF2ULSTZOLPQVGHWJ7CSOMRE \
  | 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: 9e625d51729e5cb7c2a63d93f149cc8928ab5c5fa722b37189355211c1bd00ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371c4007d55308fcb684ee55db1e8acd962edc71d4a4b369e8ea8464cd67e07c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-01T23:16:15Z",
    "title_canon_sha256": "3df1f71248ee5168e81dfb980e1658ab7955a225c1fa27e2e5a42f70e7805e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00525",
    "kind": "arxiv",
    "version": 1
  }
}