Pith Number

pith:AC3XX7TE

pith:2021:AC3XX7TEVVN5JGXSAZIP4HYKAA

not attested not anchored not stored refs pending

Realizations of automorphism groups of metric graphs induced by rational maps

Song JuAe

arxiv:2103.00174 v1 · 2021-02-27 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AC3XX7TEVVN5JGXSAZIP4HYKAA}

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.

Cited by

1 paper in Pith

The Tropical Moduli Space of Degree-3 Rational Maps

Receipt and verification

First computed	2026-07-05T02:19:02.961504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b77bfe64ad5bd49af20650fe1f0a00024d7b53ab17d3545d2108ab4dc5c9eb

Aliases

arxiv: 2103.00174 · arxiv_version: 2103.00174v1 · doi: 10.48550/arxiv.2103.00174 · pith_short_12: AC3XX7TEVVN5 · pith_short_16: AC3XX7TEVVN5JGXS · pith_short_8: AC3XX7TE

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/AC3XX7TEVVN5JGXSAZIP4HYKAA \
  | 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: 00b77bfe64ad5bd49af20650fe1f0a00024d7b53ab17d3545d2108ab4dc5c9eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665cc152f8e84eabad13b347fbd817e3825c7a06e13fe1074dfb0bb15641ac2e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-02-27T10:24:46Z",
    "title_canon_sha256": "ef1d88e5ea82470f76ffc603448cbf7df5726d9dc98b3809c8956513c81361c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.00174",
    "kind": "arxiv",
    "version": 1
  }
}