Pith Number

pith:N47CQXN6

pith:2021:N47CQXN64WID5ND2SCLTYF6BAF

not attested not anchored not stored refs pending

Moduli stack of oriented formal groups and the chromatic filtration

Rok Gregoric

arxiv:2111.15202 v1 · 2021-11-30 · math.AT · 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{N47CQXN64WID5ND2SCLTYF6BAF}

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	2026-07-05T03:36:24.107955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3e285dbee5903eb47a90973c17c10170036713f789f15265ade668c20f0405

Aliases

arxiv: 2111.15202 · arxiv_version: 2111.15202v1 · doi: 10.48550/arxiv.2111.15202 · pith_short_12: N47CQXN64WID · pith_short_16: N47CQXN64WID5ND2 · pith_short_8: N47CQXN6

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/N47CQXN64WID5ND2SCLTYF6BAF \
  | 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: 6f3e285dbee5903eb47a90973c17c10170036713f789f15265ade668c20f0405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a10d7219f83e2077e20804f8f9c77750a7bacf6c38f2bb155ac4c81f7cab53",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-11-30T08:28:57Z",
    "title_canon_sha256": "0824073900fbf79006e4031cbae854daddc2100a7e2260ec961e1e1f6463b252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15202",
    "kind": "arxiv",
    "version": 1
  }
}