Pith Number

pith:AJJUNBTA

pith:2025:AJJUNBTA7OAOYYEZ3YP7XFUN2L

not attested not anchored not stored refs pending

Tropical linear series and matroids

Chih-Wei Chang, Dagan Karp, David Jensen, Hernan Iriarte, Jidong Wang, Matthew Dupraz, Sam Payne

arxiv:2508.20062 v1 · 2025-08-27 · 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{AJJUNBTA7OAOYYEZ3YP7XFUN2L}

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

2 papers in Pith

Asymptotic Behavior of Tropical Rank Functions

Receipt and verification

First computed	2026-07-05T12:04:40.177178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0253468660fb80ec6099de1ffb968dd2efc519f4561426f96786fe715f37c01f

Aliases

arxiv: 2508.20062 · arxiv_version: 2508.20062v1 · doi: 10.48550/arxiv.2508.20062 · pith_short_12: AJJUNBTA7OAO · pith_short_16: AJJUNBTA7OAOYYEZ · pith_short_8: AJJUNBTA

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/AJJUNBTA7OAOYYEZ3YP7XFUN2L \
  | 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: 0253468660fb80ec6099de1ffb968dd2efc519f4561426f96786fe715f37c01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f5ccdad56392e89c5ad43ea1e1aff28b4aca63b5541080ed82b8b384cc0618",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-27T17:16:20Z",
    "title_canon_sha256": "f82b1fe6fff486c8005eb5e956bc055275cad7352e80e39168e8ef40e1c1b821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20062",
    "kind": "arxiv",
    "version": 1
  }
}