Pith Number

pith:42IU3NMP

pith:2015:42IU3NMPGYH6NU7QW7OTBS3JSB

not attested not anchored not stored refs pending

Nash multiplicities and resolution invariants

A. Bravo, B. Pascual-Escudero, S. Encinas

arxiv:1510.09043 v2 · 2015-10-30 · 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{42IU3NMPGYH6NU7QW7OTBS3JSB}

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	2026-05-18T00:31:56.263882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6914db58f360fe6d3f0b7dd30cb699072ca53df1f92062037b9491a560ea317

Aliases

arxiv: 1510.09043 · arxiv_version: 1510.09043v2 · doi: 10.48550/arxiv.1510.09043 · pith_short_12: 42IU3NMPGYH6 · pith_short_16: 42IU3NMPGYH6NU7Q · pith_short_8: 42IU3NMP

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/42IU3NMPGYH6NU7QW7OTBS3JSB \
  | 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: e6914db58f360fe6d3f0b7dd30cb699072ca53df1f92062037b9491a560ea317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5373fe73457aa32d28ab0b5be0a2b83e3eaec907b333ca7990fc589aad03af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-30T10:33:45Z",
    "title_canon_sha256": "baa44cbe9b3b7cccab1568f6454ab8445ef4ef89c9b7c7c0b7a609de52aee7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09043",
    "kind": "arxiv",
    "version": 2
  }
}