Pith Number

pith:P4YM6E2S

pith:2018:P4YM6E2SMSMNCOKZ3GJJISQOOS

not attested not anchored not stored refs pending

Simple groups of birational transformations in dimension two

Christian Urech

arxiv:1802.09258 v1 · 2018-02-26 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4YM6E2SMSMNCOKZ3GJJISQOOS}

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	2026-05-18T00:22:34.264385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f30cf13526498d13959d992944a0e74a07cba3e51561b2a32bc49ebdfc6863e

Aliases

arxiv: 1802.09258 · arxiv_version: 1802.09258v1 · doi: 10.48550/arxiv.1802.09258 · pith_short_12: P4YM6E2SMSMN · pith_short_16: P4YM6E2SMSMNCOKZ · pith_short_8: P4YM6E2S

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/P4YM6E2SMSMNCOKZ3GJJISQOOS \
  | 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: 7f30cf13526498d13959d992944a0e74a07cba3e51561b2a32bc49ebdfc6863e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16faa6eb022a91f7fb89e3d8a3a5a8e2e1d1de99a6682b81706ab03a501c893",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-26T11:49:01Z",
    "title_canon_sha256": "91c4c94666a99515b40c09583697760630a16011d503d2c2237a997e06a99f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09258",
    "kind": "arxiv",
    "version": 1
  }
}