Pith Number

pith:3UDNYXGF

pith:2020:3UDNYXGFPL7METW6Z7HJKLWYLG

not attested not anchored not stored refs pending

Voronoi tilings, toric arrangements and degenerations of line bundles I

Eduardo Esteves, Omid Amini

arxiv:2012.15620 v1 · 2020-12-31 · 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{3UDNYXGFPL7METW6Z7HJKLWYLG}

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	2026-07-05T02:03:20.199925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd06dc5cc57afec24edecfce952ed859bab0f212ab25ecf32b8fd4e1cfadd2fe

Aliases

arxiv: 2012.15620 · arxiv_version: 2012.15620v1 · doi: 10.48550/arxiv.2012.15620 · pith_short_12: 3UDNYXGFPL7M · pith_short_16: 3UDNYXGFPL7METW6 · pith_short_8: 3UDNYXGF

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/3UDNYXGFPL7METW6Z7HJKLWYLG \
  | 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: dd06dc5cc57afec24edecfce952ed859bab0f212ab25ecf32b8fd4e1cfadd2fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b9caaef7d9523b5196f10b03eb0db5ee2a1427d7d59cb5a7d2350388e10e6a7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-31T14:21:36Z",
    "title_canon_sha256": "949025e1824924fcf3e7d05499795e4c6c33b0fcb9f0445b886ff27201f7e113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15620",
    "kind": "arxiv",
    "version": 1
  }
}