Pith Number

pith:TOIN4FQ6

pith:2010:TOIN4FQ64YACRUHWGK245A5KTJ

not attested not anchored not stored refs pending

Pre-images of quadratic dynamical systems

Benjamin Hutz, Benjamin Krause, Trevor Hyde

arxiv:1007.0744 v2 · 2010-07-05 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOIN4FQ64YACRUHWGK245A5KTJ}

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	2026-05-18T04:22:02.372902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b90de161ee60028d0f632b5ce83aa9a791999998d030a2d4367c7e17f2bcede

Aliases

arxiv: 1007.0744 · arxiv_version: 1007.0744v2 · doi: 10.48550/arxiv.1007.0744 · pith_short_12: TOIN4FQ64YAC · pith_short_16: TOIN4FQ64YACRUHW · pith_short_8: TOIN4FQ6

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/TOIN4FQ64YACRUHWGK245A5KTJ \
  | 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: 9b90de161ee60028d0f632b5ce83aa9a791999998d030a2d4367c7e17f2bcede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e69f67c804f97c950aa367ef8d97ae5ad1ece61a361c7a74d899c8c1081210f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-05T18:49:53Z",
    "title_canon_sha256": "bdb24451df3e585719459bc04d036a120cef7c8ede023f0b9175fd1509dfd8dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0744",
    "kind": "arxiv",
    "version": 2
  }
}