Pith Number

pith:G6ZY4FXQ

pith:2026:G6ZY4FXQ3K4JO5XATZYM3GPBGF

not attested not anchored not stored refs pending

Some terminal orders on 3-folds

Colin Ingalls, Daniel Chan

arxiv:2607.02950 v1 · 2026-07-03 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6ZY4FXQ3K4JO5XATZYM3GPBGF}

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	2026-07-07T01:16:37.645697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b38e16f0dab89776e09e70cd99e1315c323aaf1ea56b23d5bcbfa0ad3746f4

Aliases

arxiv: 2607.02950 · arxiv_version: 2607.02950v1 · doi: 10.48550/arxiv.2607.02950 · pith_short_12: G6ZY4FXQ3K4J · pith_short_16: G6ZY4FXQ3K4JO5XA · pith_short_8: G6ZY4FXQ

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/G6ZY4FXQ3K4JO5XATZYM3GPBGF \
  | 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: 37b38e16f0dab89776e09e70cd99e1315c323aaf1ea56b23d5bcbfa0ad3746f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4042fd6983f39fa5be5bddfb12658134c6b7bd63293a0bb0c4b7fd9cc353ee",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-03T04:50:30Z",
    "title_canon_sha256": "05cbe1facf28509a7c6cf33ac5781e3328d4abc04f977dd184cbc27de3a3406a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02950",
    "kind": "arxiv",
    "version": 1
  }
}