Pith Number

pith:PR6ZUPNT

pith:2016:PR6ZUPNTURNMYPEOSFOCBQGAZF

not attested not anchored not stored refs pending

Equivariant Gr\"obner bases

Anton Leykin, Christopher J. Hillar, Robert Krone

arxiv:1610.02075 v2 · 2016-10-06 · math.AC · 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{PR6ZUPNTURNMYPEOSFOCBQGAZF}

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	2026-05-18T00:38:42.051601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7d9a3db3a45acc3c8e915c20c0c0c95a3fb8658b7609670816fbb621c40db5

Aliases

arxiv: 1610.02075 · arxiv_version: 1610.02075v2 · doi: 10.48550/arxiv.1610.02075 · pith_short_12: PR6ZUPNTURNM · pith_short_16: PR6ZUPNTURNMYPEO · pith_short_8: PR6ZUPNT

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/PR6ZUPNTURNMYPEOSFOCBQGAZF \
  | 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: 7c7d9a3db3a45acc3c8e915c20c0c0c95a3fb8658b7609670816fbb621c40db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28250ac7bfe30f546a46d76cd9ad1532dc6ba88f9deea7d5ff6178b0cf3c2f8a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-06T21:28:54Z",
    "title_canon_sha256": "d495ecf43dad28ceaf0fe6db7e113a13547e76826d59fce8ad540931d10952b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02075",
    "kind": "arxiv",
    "version": 2
  }
}