Pith Number

pith:LGOZBK4C

pith:2020:LGOZBK4CUIY6KGLIZRFWOW3QLB

not attested not anchored not stored refs pending

An Introduction to $\mathbf{A}^1$-Enumerative Geometry

Thomas Brazelton

arxiv:2007.09742 v1 · 2020-07-19 · math.AG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGOZBK4CUIY6KGLIZRFWOW3QLB}

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	2026-07-05T01:20:28.714461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599d90ab82a231e51968cc4b675b70584cd476df4f15388f331b263ca5d63029

Aliases

arxiv: 2007.09742 · arxiv_version: 2007.09742v1 · doi: 10.48550/arxiv.2007.09742 · pith_short_12: LGOZBK4CUIY6 · pith_short_16: LGOZBK4CUIY6KGLI · pith_short_8: LGOZBK4C

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/LGOZBK4CUIY6KGLIZRFWOW3QLB \
  | 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: 599d90ab82a231e51968cc4b675b70584cd476df4f15388f331b263ca5d63029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6797a889e394819ab668ff5488ea8f9952936f3feccdf3497ad89512ea26695",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-07-19T18:29:00Z",
    "title_canon_sha256": "dc4ffd6f1810d99ef19981821fdfacc0d3df758544e0763df5591c5b522768c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09742",
    "kind": "arxiv",
    "version": 1
  }
}