Pith Number

pith:2YG72EDX

pith:2017:2YG72EDX37URWR7KITDBXWW7ST

not attested not anchored not stored refs pending

On the growth behaviour of Hironaka quotients

F. Michel, H. Maugendre

arxiv:1707.02219 v1 · 2017-07-07 · 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{2YG72EDX37URWR7KITDBXWW7ST}

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	2026-05-18T00:40:42.525346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60dfd1077dfe91b47ea44c61bdadf94e8964074d2df0c86753a3b69ca2500ee

Aliases

arxiv: 1707.02219 · arxiv_version: 1707.02219v1 · doi: 10.48550/arxiv.1707.02219 · pith_short_12: 2YG72EDX37UR · pith_short_16: 2YG72EDX37URWR7K · pith_short_8: 2YG72EDX

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/2YG72EDX37URWR7KITDBXWW7ST \
  | 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: d60dfd1077dfe91b47ea44c61bdadf94e8964074d2df0c86753a3b69ca2500ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab4a74d3ed38f149f9d0b89148d916c925844a0f443b5d0ea1320bc80fefe01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-07T15:10:03Z",
    "title_canon_sha256": "0a78e64e9e048bba78fe5cb3b7748f0abca644479ec7b998003333cfd2bc4293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02219",
    "kind": "arxiv",
    "version": 1
  }
}