Pith Number

pith:22V2OVRA

pith:2016:22V2OVRA4TVBAQR5IWZJC6IBXQ

not attested not anchored not stored refs pending

Recomposing rational functions

Fedor Pakovich

arxiv:1610.06411 v2 · 2016-10-20 · math.DS · 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{22V2OVRA4TVBAQR5IWZJC6IBXQ}

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	2026-05-18T00:26:37.592484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6aba75620e4ea10423d45b2917901bc303ae677630439f18a19fca6c82fc95b

Aliases

arxiv: 1610.06411 · arxiv_version: 1610.06411v2 · doi: 10.48550/arxiv.1610.06411 · pith_short_12: 22V2OVRA4TVB · pith_short_16: 22V2OVRA4TVBAQR5 · pith_short_8: 22V2OVRA

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/22V2OVRA4TVBAQR5IWZJC6IBXQ \
  | 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: d6aba75620e4ea10423d45b2917901bc303ae677630439f18a19fca6c82fc95b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a2bfbb38a58574e489bcb85d6e2f054c1493e8d8ee9e11429679b59daa4e93",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-20T13:50:02Z",
    "title_canon_sha256": "39fbc8107d9f4f72d0b4b307f71a1574f48cf1cb00d12c6a451dfde1cdebac13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06411",
    "kind": "arxiv",
    "version": 2
  }
}