Pith Number

pith:BPJGGC7T

pith:2020:BPJGGC7T5FWBYKGFWYO35WFX5Q

not attested not anchored not stored refs pending

Perfectoid rings as Thom spectra

Zhouhang Mao

arxiv:2003.08697 v2 · 2020-03-19 · math.AT · 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{BPJGGC7T5FWBYKGFWYO35WFX5Q}

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.

Cited by

1 paper in Pith

Filtered formal groups, Cartier duality, and derived algebraic geometry

Receipt and verification

First computed	2026-07-05T09:03:44.756014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd2630bf3e96c1c28c5b61dbed8b7ec1bfcd80e92a49390896cfcbf1bc249f1

Aliases

arxiv: 2003.08697 · arxiv_version: 2003.08697v2 · doi: 10.48550/arxiv.2003.08697 · pith_short_12: BPJGGC7T5FWB · pith_short_16: BPJGGC7T5FWBYKGF · pith_short_8: BPJGGC7T

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/BPJGGC7T5FWBYKGFWYO35WFX5Q \
  | 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: 0bd2630bf3e96c1c28c5b61dbed8b7ec1bfcd80e92a49390896cfcbf1bc249f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82da03829d31994d82b90a12a4e10593daff4408ec0a3534881ef4b48b466559",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-03-19T11:37:25Z",
    "title_canon_sha256": "92fb7aef95e3b6c5a059b6f35e6542674e244c686accf825e904f906c360ee9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.08697",
    "kind": "arxiv",
    "version": 2
  }
}