Pith Number

pith:CDF5Q6F7

pith:2018:CDF5Q6F7F4NFVG2S7KBFMDFMCL

not attested not anchored not stored refs pending

Algebraic curves $A^{\circ l}(x)-U(y)=0$ and arithmetic of orbits of rational functions

Fedor Pakovich

arxiv:1801.01985 v2 · 2018-01-06 · math.DS · math.AG · math.CV · 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{CDF5Q6F7F4NFVG2S7KBFMDFMCL}

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	2026-05-17T23:54:03.134123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10cbd878bf2f1a5a9b52fa82560cac12c1a2ea6e3ed9f81f2d70c85ac11952e3

Aliases

arxiv: 1801.01985 · arxiv_version: 1801.01985v2 · doi: 10.48550/arxiv.1801.01985 · pith_short_12: CDF5Q6F7F4NF · pith_short_16: CDF5Q6F7F4NFVG2S · pith_short_8: CDF5Q6F7

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/CDF5Q6F7F4NFVG2S7KBFMDFMCL \
  | 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: 10cbd878bf2f1a5a9b52fa82560cac12c1a2ea6e3ed9f81f2d70c85ac11952e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8789058c0b3ef67f6a1b44812eed9eab0082b18ef4c9383f9497a3e750e87e7",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-06T08:05:43Z",
    "title_canon_sha256": "be945d8cacc840803d69d27e7d170b3c0f457359192773da1674571a388331d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01985",
    "kind": "arxiv",
    "version": 2
  }
}