Pith Number

pith:TYC7L4IR

pith:2021:TYC7L4IRERI3G342ECGYIWWIZP

not attested not anchored not stored refs pending

Syzygies of $\mathbb{P}^{1}\times \mathbb{P}^{1}$: data and conjectures

Daniel Corey, Daniel Erman, Jay Yang, Juliette Bruce, Robert P. Laudone, Steve Goldstein

arxiv:2104.14598 v1 · 2021-04-29 · 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{TYC7L4IRERI3G342ECGYIWWIZP}

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	2026-07-05T02:36:24.401346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e05f5f1112451b36f9a208d845ac8cbc38340790770483d66e1ec0679bee246

Aliases

arxiv: 2104.14598 · arxiv_version: 2104.14598v1 · doi: 10.48550/arxiv.2104.14598 · pith_short_12: TYC7L4IRERI3 · pith_short_16: TYC7L4IRERI3G342 · pith_short_8: TYC7L4IR

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/TYC7L4IRERI3G342ECGYIWWIZP \
  | 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: 9e05f5f1112451b36f9a208d845ac8cbc38340790770483d66e1ec0679bee246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "362ce13c8f5cdf871963843fd91d990a567af792e8cf6cf6f94e476832f3c749",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-04-29T18:38:17Z",
    "title_canon_sha256": "f86508009803d8209d65f47f3c7da968002c282fec8f2d3824dfb539ceb7b711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14598",
    "kind": "arxiv",
    "version": 1
  }
}