Pith Number

pith:3VDBQUUN

pith:2024:3VDBQUUN3DSVFC5DHAX3PSLP2H

not attested not anchored not stored refs pending

Existence of a unique, nondegenerate solution to parametrized systems of generalized polynomial equations

Abhishek Deshpande, Stefan M\"uller

arxiv:2409.11288 v2 · 2024-09-17 · 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{3VDBQUUN3DSVFC5DHAX3PSLP2H}

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

Positive equilibria in mass action networks: geometry and bounds

Receipt and verification

First computed	2026-05-29T02:05:33.220367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4618528dd8e5528ba3382fb7c96fd1ed4f0e14fe964170885e749108ac1a4d

Aliases

arxiv: 2409.11288 · arxiv_version: 2409.11288v2 · doi: 10.48550/arxiv.2409.11288 · pith_short_12: 3VDBQUUN3DSV · pith_short_16: 3VDBQUUN3DSVFC5D · pith_short_8: 3VDBQUUN

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/3VDBQUUN3DSVFC5DHAX3PSLP2H \
  | 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: dd4618528dd8e5528ba3382fb7c96fd1ed4f0e14fe964170885e749108ac1a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3844f10e97f59d026cc359aca6dc23e59c37a36868e3a879fb0f49ec458b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-17T15:42:08Z",
    "title_canon_sha256": "09679868d0f7ecd343a92fd2f3987ce1352493cd6afcdbd75ab56d10d80ea6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.11288",
    "kind": "arxiv",
    "version": 2
  }
}