Pith Number

pith:AAVJDZF2

pith:2016:AAVJDZF2L5OJM7V3E256JDS3UQ

not attested not anchored not stored refs pending

Remarks on the degree growth of birational transformations

Christian Urech

arxiv:1606.04822 v1 · 2016-06-15 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAVJDZF2L5OJM7V3E256JDS3UQ}

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	2026-05-18T01:12:23.299400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002a91e4ba5f5c967ebb26bbe48e5ba4341fa882b5f4cd13478c5b1e99b72fb4

Aliases

arxiv: 1606.04822 · arxiv_version: 1606.04822v1 · doi: 10.48550/arxiv.1606.04822 · pith_short_12: AAVJDZF2L5OJ · pith_short_16: AAVJDZF2L5OJM7V3 · pith_short_8: AAVJDZF2

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/AAVJDZF2L5OJM7V3E256JDS3UQ \
  | 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: 002a91e4ba5f5c967ebb26bbe48e5ba4341fa882b5f4cd13478c5b1e99b72fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a031e2cb480c64a4f2758c0c37243dc5640bbc3c82a1b63eae71a0938e0252b5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-15T15:40:43Z",
    "title_canon_sha256": "c7671707774ec30366d48b06bbbe50ff05eebf3bca053995b253df42d9fc5f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04822",
    "kind": "arxiv",
    "version": 1
  }
}