Pith Number

pith:FHFROYXJ

pith:2020:FHFROYXJHXOUEM6AKFEN2OET5Q

not attested not anchored not stored refs pending

On tropical cohomology of smooth algebraic varieties

Ryota Mikami

arxiv:2009.04690 v6 · 2020-09-10 · 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{FHFROYXJHXOUEM6AKFEN2OET5Q}

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

3 papers in Pith

Space of prime congruences in tropical geometry

Tropical cohomology via reductions of tropical varieties

Tropical intersection homology

Receipt and verification

First computed	2026-07-05T11:40:46.218434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cb1762e93ddd4233c05148dd3893ec36ee1248853c4364c4d9ea2db7067c97

Aliases

arxiv: 2009.04690 · arxiv_version: 2009.04690v6 · doi: 10.48550/arxiv.2009.04690 · pith_short_12: FHFROYXJHXOU · pith_short_16: FHFROYXJHXOUEM6A · pith_short_8: FHFROYXJ

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/FHFROYXJHXOUEM6AKFEN2OET5Q \
  | 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: 29cb1762e93ddd4233c05148dd3893ec36ee1248853c4364c4d9ea2db7067c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a711460db83e2132e01f9903de5a0d1f11052bf3f25bd7ec5a89d3e801b7da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-09-10T06:58:43Z",
    "title_canon_sha256": "2ac8842eedbaadd1f84f08b3cc5fe000fbeee094ed527bcc8df3ca753cd817d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04690",
    "kind": "arxiv",
    "version": 6
  }
}