Pith Number

pith:6VZZ7DHO

pith:2017:6VZZ7DHO632IP3LPCUJEKDXBXV

not attested not anchored not stored refs pending

A General Version of the Nullstellensatz for Arbitrary Fields

Danny A. J. Gomez-Ramirez, Edisson Gallego, Juan D. Velez

arxiv:1708.04463 v1 · 2017-08-15 · 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{6VZZ7DHO632IP3LPCUJEKDXBXV}

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	2026-05-18T00:37:59.265242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5739f8ceef6f487ed6f1512450ee1bd71932e369eae97da35833af0c51e1d64

Aliases

arxiv: 1708.04463 · arxiv_version: 1708.04463v1 · doi: 10.48550/arxiv.1708.04463 · pith_short_12: 6VZZ7DHO632I · pith_short_16: 6VZZ7DHO632IP3LP · pith_short_8: 6VZZ7DHO

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/6VZZ7DHO632IP3LPCUJEKDXBXV \
  | 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: f5739f8ceef6f487ed6f1512450ee1bd71932e369eae97da35833af0c51e1d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b056fbe41ddfa47097436c4bc668d4f43fa7a8f3a5e4948733bb6e428eb2000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-15T11:37:00Z",
    "title_canon_sha256": "d8f69a8352b9c54fc6d1165ca3a7f5a9c2c8c450ff5f1704ca36dd515e393072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04463",
    "kind": "arxiv",
    "version": 1
  }
}