Pith Number

pith:BO5KTD6X

pith:2023:BO5KTD6XFEJ7QXT4C43HLRDKH6

not attested not anchored not stored refs pending

Hodge theory for tropical fans

Matthieu Piquerez, Omid Amini

arxiv:2310.15367 v1 · 2023-10-23 · math.CO · 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{BO5KTD6XFEJ7QXT4C43HLRDKH6}

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

1 paper in Pith

Topology and Euler characteristics of tropical varieties

Receipt and verification

First computed	2026-07-05T07:04:25.158132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbaa98fd72913f85e7c173675c46a3f859759423978f6b250b3382ec7f24cff

Aliases

arxiv: 2310.15367 · arxiv_version: 2310.15367v1 · doi: 10.48550/arxiv.2310.15367 · pith_short_12: BO5KTD6XFEJ7 · pith_short_16: BO5KTD6XFEJ7QXT4 · pith_short_8: BO5KTD6X

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/BO5KTD6XFEJ7QXT4C43HLRDKH6 \
  | 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: 0bbaa98fd72913f85e7c173675c46a3f859759423978f6b250b3382ec7f24cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17168826c58dbecd3a348ded4a39019d67d5cf17a5b5c3d85b81e5a1f2ef1b4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-23T21:01:45Z",
    "title_canon_sha256": "11326e9289f288bc5568d4c3185f6904489dc3654a6d5c7fdb5de7f03a430244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.15367",
    "kind": "arxiv",
    "version": 1
  }
}