Pith Number

pith:7RQV3WTQ

pith:2012:7RQV3WTQNB7JGRVKGHUVQDFBD7

not attested not anchored not stored refs pending

Bifurcation currents in holomorphic families of rational maps

Fran\c{c}ois Berteloot

arxiv:1207.0789 v1 · 2012-07-03 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RQV3WTQNB7JGRVKGHUVQDFBD7}

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	2026-05-18T03:51:49.061479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc615dda70687e9346aa31e9580ca11fe1650714f604fbcdbede3413d296eb8a

Aliases

arxiv: 1207.0789 · arxiv_version: 1207.0789v1 · doi: 10.48550/arxiv.1207.0789 · pith_short_12: 7RQV3WTQNB7J · pith_short_16: 7RQV3WTQNB7JGRVK · pith_short_8: 7RQV3WTQ

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/7RQV3WTQNB7JGRVKGHUVQDFBD7 \
  | 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: fc615dda70687e9346aa31e9580ca11fe1650714f604fbcdbede3413d296eb8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5628f072dfc42fd5fef09b9c8485a548211834c6075eacfad893a8193bcf279",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-03T19:17:29Z",
    "title_canon_sha256": "4405403b6688eaf19099dbc9acd025da93c3d1a9414a72eb99eae6d766484285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0789",
    "kind": "arxiv",
    "version": 1
  }
}