Pith Number

pith:3TPLC5SJ

pith:2016:3TPLC5SJHC6QRA224Y6HUH4HIF

not attested not anchored not stored refs pending

The automorphism group of $M_{0,n}^\text{trop}$ and $\overline{M}_{0,n}^{\text{trop}}$

Alex Abreu, Marco Pacini

arxiv:1602.01415 v1 · 2016-02-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TPLC5SJHC6QRA224Y6HUH4HIF}

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	2026-05-18T01:21:20.267427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdeb1764938bd08835ae63c7a1f874173206fef288aaa6925e8a4df471a8f2b

Aliases

arxiv: 1602.01415 · arxiv_version: 1602.01415v1 · doi: 10.48550/arxiv.1602.01415 · pith_short_12: 3TPLC5SJHC6Q · pith_short_16: 3TPLC5SJHC6QRA22 · pith_short_8: 3TPLC5SJ

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/3TPLC5SJHC6QRA224Y6HUH4HIF \
  | 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: dcdeb1764938bd08835ae63c7a1f874173206fef288aaa6925e8a4df471a8f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c7f4d58c46290b182373690811255087844beeead8c3014124c7970fe02094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-03T19:07:14Z",
    "title_canon_sha256": "cc52a0541e2f9db1b25e47af9165b0d463f759129c5b62be5e43a23c0087cda6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01415",
    "kind": "arxiv",
    "version": 1
  }
}