Pith Number

pith:C52OX6HI

pith:2013:C52OX6HIYZ3SQRU5766SEUBBG4

not attested not anchored not stored refs pending

Invariant quadrics and orbits for a family of rational systems of difference equations

Ignacio Bajo

arxiv:1311.3199 v1 · 2013-11-13 · 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{C52OX6HIYZ3SQRU5766SEUBBG4}

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	2026-05-18T03:07:12.712602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1774ebf8e8c67728469dffbd2250213724ba77e023d76b6f42fc207c4717838b

Aliases

arxiv: 1311.3199 · arxiv_version: 1311.3199v1 · doi: 10.48550/arxiv.1311.3199 · pith_short_12: C52OX6HIYZ3S · pith_short_16: C52OX6HIYZ3SQRU5 · pith_short_8: C52OX6HI

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/C52OX6HIYZ3SQRU5766SEUBBG4 \
  | 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: 1774ebf8e8c67728469dffbd2250213724ba77e023d76b6f42fc207c4717838b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a810d31441c7c2faa023ed54d59192587537f0b191acd7070150a59da3e0ec1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-13T16:38:50Z",
    "title_canon_sha256": "46c5035dae932d2959b37279e068942512962bafca334f5da438bf6fc831b28d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3199",
    "kind": "arxiv",
    "version": 1
  }
}