Pith Number

pith:JV2GTUWT

pith:2012:JV2GTUWTUX6F5WAYWBSGDTSQ64

not attested not anchored not stored refs pending

Parabolic Bifurcations in Complex Dimension 2

Eric Bedford, John Smillie, Tetsuo Ueda

arxiv:1208.2577 v1 · 2012-08-13 · 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{JV2GTUWTUX6F5WAYWBSGDTSQ64}

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	2026-05-18T03:48:57.509439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d7469d2d3a5fc5ed818b06461ce50f70e44bea894087cfc1d6e26ab490790f3

Aliases

arxiv: 1208.2577 · arxiv_version: 1208.2577v1 · doi: 10.48550/arxiv.1208.2577 · pith_short_12: JV2GTUWTUX6F · pith_short_16: JV2GTUWTUX6F5WAY · pith_short_8: JV2GTUWT

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/JV2GTUWTUX6F5WAYWBSGDTSQ64 \
  | 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: 4d7469d2d3a5fc5ed818b06461ce50f70e44bea894087cfc1d6e26ab490790f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb6085f25c1879c60090dcd239fed6f8b46c09b3ff02f38954b7f8aede1a493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-13T13:13:17Z",
    "title_canon_sha256": "1b8565b26cd747def5efdcfa08ec20207dcbee587dd72466bbcd575c5e9717d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2577",
    "kind": "arxiv",
    "version": 1
  }
}