Pith Number

pith:XLJIGGLD

pith:2024:XLJIGGLDTMJAZNSSSTK4CPDRF4

not attested not anchored not stored refs pending

Tropical intersection homology

Ryota Mikami

arxiv:2412.20748 v4 · 2024-12-30 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLJIGGLDTMJAZNSSSTK4CPDRF4}

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	2026-05-18T03:09:46.314101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad28319639b120cb65294d5c13c712f35184a0111e46de072a3052ce42d69f7

Aliases

arxiv: 2412.20748 · arxiv_version: 2412.20748v4 · doi: 10.48550/arxiv.2412.20748 · pith_short_12: XLJIGGLDTMJA · pith_short_16: XLJIGGLDTMJAZNSS · pith_short_8: XLJIGGLD

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/XLJIGGLDTMJAZNSSSTK4CPDRF4 \
  | 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: bad28319639b120cb65294d5c13c712f35184a0111e46de072a3052ce42d69f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94984b341917763dd48c0ad5e415ac1f86c6190bfc2840e74f4fdb7758b641b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-30T06:43:11Z",
    "title_canon_sha256": "e8b21c5c6ad34e38a97be2446684a922bbadadde9254a997e81e10bb568f0e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20748",
    "kind": "arxiv",
    "version": 4
  }
}