Pith Number

pith:Z7T57L7V

pith:2008:Z7T57L7VIAYKTQCAWSNRQTCU6W

not attested not anchored not stored refs pending

Admissibility of kneading sequences and structure of Hubbard trees for quadratic polynomials

Dierk Schleicher, Henk Bruin

arxiv:0801.4662 v1 · 2008-01-30 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7T57L7VIAYKTQCAWSNRQTCU6W}

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	2026-05-18T02:58:11.874818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe7dfaff54030a9c040b49b184c54f5a18f9561931f71835760bf163570642f

Aliases

arxiv: 0801.4662 · arxiv_version: 0801.4662v1 · doi: 10.48550/arxiv.0801.4662 · pith_short_12: Z7T57L7VIAYK · pith_short_16: Z7T57L7VIAYKTQCA · pith_short_8: Z7T57L7V

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/Z7T57L7VIAYKTQCAWSNRQTCU6W \
  | 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: cfe7dfaff54030a9c040b49b184c54f5a18f9561931f71835760bf163570642f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1ba846c8770e148d45310fac53ded778af37a6a465f58503bec5dbf5451548",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2008-01-30T12:36:09Z",
    "title_canon_sha256": "bc59cb92c168f973fc28acb14d30a55290fd7de4e06aaf356f966cc1b653e6fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4662",
    "kind": "arxiv",
    "version": 1
  }
}