Pith Number

pith:7SJF3RME

pith:2012:7SJF3RME6ODRNJERLQDCJ5V3ZY

not attested not anchored not stored refs pending

Universality of the category of schemes

Satoshi Takagi

arxiv:1202.5085 v3 · 2012-02-23 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SJF3RME6ODRNJERLQDCJ5V3ZY}

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	2026-05-18T03:53:54.344242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc925dc584f38716a4915c0624f6bbce220f3187d14ac0498641fec3c5c65223

Aliases

arxiv: 1202.5085 · arxiv_version: 1202.5085v3 · doi: 10.48550/arxiv.1202.5085 · pith_short_12: 7SJF3RME6ODR · pith_short_16: 7SJF3RME6ODRNJER · pith_short_8: 7SJF3RME

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/7SJF3RME6ODRNJERLQDCJ5V3ZY \
  | 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: fc925dc584f38716a4915c0624f6bbce220f3187d14ac0498641fec3c5c65223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1404dbfb9e46738a43accd7c04ee1bf4dee4fceb4e124cf0c6da2c274461e0cb",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-23T04:46:11Z",
    "title_canon_sha256": "b1b2d9a2324aa179050e036929839bbbbc912d0ccc1cdc94cb9783adf4e01555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5085",
    "kind": "arxiv",
    "version": 3
  }
}