Pith Number

pith:ADRPQSVV

pith:2024:ADRPQSVVVOCWX65BLTVYMRKI63

not attested not anchored not stored refs pending

Tropicalization of $\psi$ classes

Andreas Gross, Renzo Cavalieri

arxiv:2412.02817 v1 · 2024-12-03 · 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{ADRPQSVVVOCWX65BLTVYMRKI63}

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

Degenerations in tropical compactifications and tropical intersection theory of $\overline{M}_{0,n}$

Receipt and verification

First computed	2026-07-05T09:44:20.114490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00e2f84ab5ab856bfba15ceb864548f6dfd3278ccdbd8d4a4d5801a26873015f

Aliases

arxiv: 2412.02817 · arxiv_version: 2412.02817v1 · doi: 10.48550/arxiv.2412.02817 · pith_short_12: ADRPQSVVVOCW · pith_short_16: ADRPQSVVVOCWX65B · pith_short_8: ADRPQSVV

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/ADRPQSVVVOCWX65BLTVYMRKI63 \
  | 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: 00e2f84ab5ab856bfba15ceb864548f6dfd3278ccdbd8d4a4d5801a26873015f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a251b219601ccc9e2650d0da85c483aeb0d52b61652be8e95ab4ca67853ead",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-03T20:34:30Z",
    "title_canon_sha256": "188048fdf5321e02022152e67d54cd900705a221b5455d8d5ce6ea9271d16e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02817",
    "kind": "arxiv",
    "version": 1
  }
}