Pith Number

pith:MFJ3QZPZ

pith:2012:MFJ3QZPZ2GT2LWW6SYCXG7USD5

not attested not anchored not stored refs pending

Tropical Hurwitz Spaces

Brian Katz

arxiv:1211.2369 v1 · 2012-11-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFJ3QZPZ2GT2LWW6SYCXG7USD5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:41:03.609212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6153b865f9d1a7a5dade9605737e921f720548e776a755473f341675e4e97174

Aliases

arxiv: 1211.2369 · arxiv_version: 1211.2369v1 · doi: 10.48550/arxiv.1211.2369 · pith_short_12: MFJ3QZPZ2GT2 · pith_short_16: MFJ3QZPZ2GT2LWW6 · pith_short_8: MFJ3QZPZ

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/MFJ3QZPZ2GT2LWW6SYCXG7USD5 \
  | 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: 6153b865f9d1a7a5dade9605737e921f720548e776a755473f341675e4e97174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887e843846ba47b30789aaac6b4d101500fa09f4fa7b4c9e41fc149649cdeab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-11T02:29:09Z",
    "title_canon_sha256": "cc93849d7733746bcc92f244b7fa5d2c6187969a7b3c95e58de6b9c2370ac54c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2369",
    "kind": "arxiv",
    "version": 1
  }
}