Pith Number

pith:GQT7PKIJ

pith:2022:GQT7PKIJYONTH4ZO4JCNK6LOJV

not attested not anchored not stored refs pending

Limit linear series: combinatorial theory

Lucas Gierczak, Omid Amini

arxiv:2209.15613 v2 · 2022-09-30 · 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{GQT7PKIJYONTH4ZO4JCNK6LOJV}

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	2026-07-05T09:13:32.425448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3427f7a909c39b33f32ee244d5796e4d528cbdfcf184eeee6c9a85f2f30b9859

Aliases

arxiv: 2209.15613 · arxiv_version: 2209.15613v2 · doi: 10.48550/arxiv.2209.15613 · pith_short_12: GQT7PKIJYONT · pith_short_16: GQT7PKIJYONTH4ZO · pith_short_8: GQT7PKIJ

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/GQT7PKIJYONTH4ZO4JCNK6LOJV \
  | 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: 3427f7a909c39b33f32ee244d5796e4d528cbdfcf184eeee6c9a85f2f30b9859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4382705455175845bb5390eb34bf877c9f6529cef2f386d0e29744045b7f3c97",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-30T17:37:39Z",
    "title_canon_sha256": "612f26ce679bbd07827fe0b7dc6cc834b178ac5938ccbf8376c17875120d1128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15613",
    "kind": "arxiv",
    "version": 2
  }
}