Pith Number

pith:5R7NDZID

pith:2015:5R7NDZIDW7AB4FEBT5DNFIUHYR

not attested not anchored not stored refs pending

Lie Symmetries of Birational Maps Preserving Genus 0 Fibrations

Mireia Llorens, V\'ictor Ma\~nosa

arxiv:1502.03737 v1 · 2015-02-12 · 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{5R7NDZIDW7AB4FEBT5DNFIUHYR}

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	2026-05-18T01:34:55.018267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7ed1e503b7c01e14819f46d2a287c44fac46063a6238cdaab885d73fca4061

Aliases

arxiv: 1502.03737 · arxiv_version: 1502.03737v1 · doi: 10.48550/arxiv.1502.03737 · pith_short_12: 5R7NDZIDW7AB · pith_short_16: 5R7NDZIDW7AB4FEB · pith_short_8: 5R7NDZID

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/5R7NDZIDW7AB4FEBT5DNFIUHYR \
  | 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: ec7ed1e503b7c01e14819f46d2a287c44fac46063a6238cdaab885d73fca4061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340440492fb11a998658860d41a9ee5d52153ec258bd75370400b1cb3b2362ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-12T17:14:03Z",
    "title_canon_sha256": "5a2b85383513a616821831122d635bae1ab295434fe94ce0e37464bc37f85092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03737",
    "kind": "arxiv",
    "version": 1
  }
}