Pith Number

pith:LIHQX6X7

pith:2011:LIHQX6X7I3LRMNWCT7RUB4RGMX

not attested not anchored not stored refs pending

A-schemes and Zariski-Riemann spaces

Satoshi Takagi

arxiv:1101.2796 v5 · 2011-01-14 · 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{LIHQX6X7I3LRMNWCT7RUB4RGMX}

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	2026-05-18T04:10:34.440135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0f0bfaff46d71636c29fe340f22665fd2f71f697670040488e9b6f893eb046

Aliases

arxiv: 1101.2796 · arxiv_version: 1101.2796v5 · doi: 10.48550/arxiv.1101.2796 · pith_short_12: LIHQX6X7I3LR · pith_short_16: LIHQX6X7I3LRMNWC · pith_short_8: LIHQX6X7

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/LIHQX6X7I3LRMNWCT7RUB4RGMX \
  | 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: 5a0f0bfaff46d71636c29fe340f22665fd2f71f697670040488e9b6f893eb046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7642177e9909403fda4e87390713053f9dec36dfa4661303b65fc180d45ae73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-14T13:12:19Z",
    "title_canon_sha256": "44b39c99ab7e86756d467b7495858dbcab4545929975e19f03af7771b8d346c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2796",
    "kind": "arxiv",
    "version": 5
  }
}