Pith Number

pith:JI3AILQ6

pith:2024:JI3AILQ6UHBBIEMOCB3O7Z7OXY

not attested not anchored not stored refs pending

Tropicalization of linear series and tilings by polymatroids

Eduardo Esteves, Omid Amini

arxiv:2405.04306 v1 · 2024-05-07 · 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{JI3AILQ6UHBBIEMOCB3O7Z7OXY}

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 of maps to projective spaces

Receipt and verification

First computed	2026-07-05T08:16:35.009185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a36042e1ea1c214118e1076efe7eebe37ceebd7795b6ecdbc81002951b698e2

Aliases

arxiv: 2405.04306 · arxiv_version: 2405.04306v1 · doi: 10.48550/arxiv.2405.04306 · pith_short_12: JI3AILQ6UHBB · pith_short_16: JI3AILQ6UHBBIEMO · pith_short_8: JI3AILQ6

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/JI3AILQ6UHBBIEMOCB3O7Z7OXY \
  | 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: 4a36042e1ea1c214118e1076efe7eebe37ceebd7795b6ecdbc81002951b698e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5535cfeae79b19e45accdc8b029d5cd87675d507c29714ad0f0250fab167d9a1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-07T13:28:27Z",
    "title_canon_sha256": "ca6f57f03cd977ff0101c06d33f0d33ba38b4d46c690d3256280b1803fad45fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.04306",
    "kind": "arxiv",
    "version": 1
  }
}