Pith Number

pith:WC46IWNV

pith:2018:WC46IWNV3OOE2TMP7FLXZ7E6UL

not attested not anchored not stored refs pending

On degree bounds for the sparse Nullstellensatz

Gabriela Jeronimo, Juan Sabia, Maria Isabel Herrero

arxiv:1812.05505 v2 · 2018-12-13 · 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{WC46IWNV3OOE2TMP7FLXZ7E6UL}

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	2026-05-17T23:41:58.057983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b9e459b5db9c4d4d8ff9577cfc9ea2fba446e867115f90de0b99d8d38b9624

Aliases

arxiv: 1812.05505 · arxiv_version: 1812.05505v2 · doi: 10.48550/arxiv.1812.05505 · pith_short_12: WC46IWNV3OOE · pith_short_16: WC46IWNV3OOE2TMP · pith_short_8: WC46IWNV

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/WC46IWNV3OOE2TMP7FLXZ7E6UL \
  | 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: b0b9e459b5db9c4d4d8ff9577cfc9ea2fba446e867115f90de0b99d8d38b9624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5607adfbe08651c86ab8ea786ecbfb6695de3cc934f439a9ce860f0b80917711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-13T16:28:50Z",
    "title_canon_sha256": "9d38a3cf286b153769efb0cd38eef2f78e8f73744058561172ec16c7c9b6b817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05505",
    "kind": "arxiv",
    "version": 2
  }
}