Pith Number

pith:DTQNJ5DM

pith:2021:DTQNJ5DMHSFWQ5BP4CHHD4AXAS

not attested not anchored not stored refs pending

Moduli stack of oriented formal groups and periodic complex bordism

Rok Gregoric

arxiv:2107.08657 v2 · 2021-07-19 · 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{DTQNJ5DMHSFWQ5BP4CHHD4AXAS}

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	2026-07-05T03:36:09.095794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce0d4f46c3c8b68742fe08e71f017049ceb37f621caa75f0063d97bcfb9c94b

Aliases

arxiv: 2107.08657 · arxiv_version: 2107.08657v2 · doi: 10.48550/arxiv.2107.08657 · pith_short_12: DTQNJ5DMHSFW · pith_short_16: DTQNJ5DMHSFWQ5BP · pith_short_8: DTQNJ5DM

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/DTQNJ5DMHSFWQ5BP4CHHD4AXAS \
  | 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: 1ce0d4f46c3c8b68742fe08e71f017049ceb37f621caa75f0063d97bcfb9c94b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ea1169b0f49ebc55069f7ce6331502ab7b8dde43e2e3c3be991704cc32a986",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-19T07:36:16Z",
    "title_canon_sha256": "dd5e6069de9a4d9a530c28e665736d64da5a76a7c701de60162164c32f815b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08657",
    "kind": "arxiv",
    "version": 2
  }
}