Pith Number

pith:47DPJ66I

pith:2024:47DPJ66IT6R5JCA6RT33X6F4NI

not attested not anchored not stored refs pending

Combinatorics of Hurwitz degenerations and tropical realizability

Chi Kin Ng, Dhruv Ranganathan, Mia Lam

arxiv:2410.20831 v2 · 2024-10-28 · 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{47DPJ66IT6R5JCA6RT33X6F4NI}

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	2026-06-26T01:15:12.893421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c6f4fbc89fa3d4881e8cf7bbf8bc6a03721e258fbd2447e367f63c50595331

Aliases

arxiv: 2410.20831 · arxiv_version: 2410.20831v2 · doi: 10.48550/arxiv.2410.20831 · pith_short_12: 47DPJ66IT6R5 · pith_short_16: 47DPJ66IT6R5JCA6 · pith_short_8: 47DPJ66I

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/47DPJ66IT6R5JCA6RT33X6F4NI \
  | 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: e7c6f4fbc89fa3d4881e8cf7bbf8bc6a03721e258fbd2447e367f63c50595331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7154d761e558f18f8d6fd5f4602b9002f847af375320f18a77c6ded5b5765644",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-28T08:29:39Z",
    "title_canon_sha256": "0c289e1917205a4a602ba14545abefceba53a375a71726f3c7cad81e0fa806de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20831",
    "kind": "arxiv",
    "version": 2
  }
}