Pith Number

pith:V23FZ6IJ

pith:2014:V23FZ6IJOR474PRQWS4ZD74L2X

not attested not anchored not stored refs pending

The combinatorial-motivic nature of $\mathbb{F}_1$-schemes

Koen Thas

arxiv:1406.5447 v1 · 2014-06-20 · 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{V23FZ6IJOR474PRQWS4ZD74L2X}

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	2026-05-18T02:49:19.081517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb65cf9097479fe3e30b4b991ff8bd5e177fd296af06bb20537299e16128a25

Aliases

arxiv: 1406.5447 · arxiv_version: 1406.5447v1 · doi: 10.48550/arxiv.1406.5447 · pith_short_12: V23FZ6IJOR47 · pith_short_16: V23FZ6IJOR474PRQ · pith_short_8: V23FZ6IJ

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/V23FZ6IJOR474PRQWS4ZD74L2X \
  | 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: aeb65cf9097479fe3e30b4b991ff8bd5e177fd296af06bb20537299e16128a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c02f07f9096d5b5d2e42b5bb1b76ce22c9090798ad9c5bf939222f396326f856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-20T16:14:17Z",
    "title_canon_sha256": "d67c1ab7fc72d7a0cd6912e2991e14c901aa7d95e8c28f32057959943d8b5997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5447",
    "kind": "arxiv",
    "version": 1
  }
}