Pith Number

pith:XVKWFC4C

pith:2020:XVKWFC4C6ZDUM5PO6MZDCB7ASS

not attested not anchored not stored refs pending

Automorphism loci for degree 3 and degree 4 endomorphisms of the projective line

Benjamin Hutz, Brandon Gontmacher, Grayson Jorgenson, Simon Xu, Srinjoy Srimani

arxiv:2007.15483 v2 · 2020-07-30 · 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{XVKWFC4C6ZDUM5PO6MZDCB7ASS}

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	2026-07-05T02:48:17.736382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd55628b82f6474675eef3323107e09484a259b62bd95223136c9b77d508a363

Aliases

arxiv: 2007.15483 · arxiv_version: 2007.15483v2 · doi: 10.48550/arxiv.2007.15483 · pith_short_12: XVKWFC4C6ZDU · pith_short_16: XVKWFC4C6ZDUM5PO · pith_short_8: XVKWFC4C

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/XVKWFC4C6ZDUM5PO6MZDCB7ASS \
  | 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: bd55628b82f6474675eef3323107e09484a259b62bd95223136c9b77d508a363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc104c4f20b6a6635bcfa844a907052d10c8e4d6f1d8e9dd18441a19fa4e00d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-07-30T14:28:53Z",
    "title_canon_sha256": "dc43e94eb3444f3660f8278a0ffb345181d0278c62f944ea0931d6fc7109a3cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.15483",
    "kind": "arxiv",
    "version": 2
  }
}