Pith Number

pith:KLJ67UF4

pith:2026:KLJ67UF4EMB5ZMII7NFLVRLBFT

not attested not anchored not stored refs pending

Elementary solutions of ordinary tropical differential equations, and vanishing orders of solutions of algebraic differential equations

Carla Valencia-Negrete, Cristhian Garay-L\'opez, Johana Luviano-Flores

arxiv:2606.21829 v1 · 2026-06-20 · 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{KLJ67UF4EMB5ZMII7NFLVRLBFT}

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	2026-06-23T02:13:00.225619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d3efd0bc2303dcb108fb4abac5612ceab04fedb6bab4ba12e5169ce948d16c

Aliases

arxiv: 2606.21829 · arxiv_version: 2606.21829v1 · doi: 10.48550/arxiv.2606.21829 · pith_short_12: KLJ67UF4EMB5 · pith_short_16: KLJ67UF4EMB5ZMII · pith_short_8: KLJ67UF4

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/KLJ67UF4EMB5ZMII7NFLVRLBFT \
  | 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: 52d3efd0bc2303dcb108fb4abac5612ceab04fedb6bab4ba12e5169ce948d16c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c0b8a2802e08a4eb409b6c9caeceeed288dcc559d0b1041c9fc7212c2abf72",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-20T01:35:16Z",
    "title_canon_sha256": "0f169279101f359c73960984bc86a56b25201a09bd8ecb0ba5105aba8caa4190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21829",
    "kind": "arxiv",
    "version": 1
  }
}