Pith Number

pith:PA2LWLZA

pith:2016:PA2LWLZAL2R2F4WHIVP5K6FNNU

not attested not anchored not stored refs pending

Projective spaces over $\mathbb{F}_{1^{\ell}}$

Koen Thas

arxiv:1607.04513 v1 · 2016-07-15 · 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{PA2LWLZAL2R2F4WHIVP5K6FNNU}

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	2026-05-18T01:11:01.021159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7834bb2f205ea3a2f2c7455fd578ad6d36a502569d03235db11cde3fba244711

Aliases

arxiv: 1607.04513 · arxiv_version: 1607.04513v1 · doi: 10.48550/arxiv.1607.04513 · pith_short_12: PA2LWLZAL2R2 · pith_short_16: PA2LWLZAL2R2F4WH · pith_short_8: PA2LWLZA

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/PA2LWLZAL2R2F4WHIVP5K6FNNU \
  | 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: 7834bb2f205ea3a2f2c7455fd578ad6d36a502569d03235db11cde3fba244711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3dfda38de70294eb80e5628386a2ab9dc3a73ac389e4cfaec89491d48bee42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-15T14:03:38Z",
    "title_canon_sha256": "b364143888c584050fd1b35d927fc24ea9427a973a3d1f2e092777fa7c3d332d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04513",
    "kind": "arxiv",
    "version": 1
  }
}