Pith Number

pith:BFDJYPQM

pith:2013:BFDJYPQML5KPXRRGCONSL3UN42

not attested not anchored not stored refs pending

Embedding theorems for spaces of $\R$-places of rational function fields and their products

Franz-Viktor Kuhlmann, Katarzyna Kuhlmann

arxiv:1304.0201 v1 · 2013-03-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFDJYPQML5KPXRRGCONSL3UN42}

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	2026-05-18T03:29:25.711850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09469c3e0c5f54fbc626139b25ee8de682d02c8236b7629680c7a72f990152aa

Aliases

arxiv: 1304.0201 · arxiv_version: 1304.0201v1 · doi: 10.48550/arxiv.1304.0201 · pith_short_12: BFDJYPQML5KP · pith_short_16: BFDJYPQML5KPXRRG · pith_short_8: BFDJYPQM

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/BFDJYPQML5KPXRRGCONSL3UN42 \
  | 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: 09469c3e0c5f54fbc626139b25ee8de682d02c8236b7629680c7a72f990152aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237a26f34f1a992a77d9d680e53d902f29444a136111f96e564ecc370ed1b8ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-31T13:05:06Z",
    "title_canon_sha256": "024e2354ddc5df7dafb54641189334112ba8354fba894e70ddd10c9d1bd17868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0201",
    "kind": "arxiv",
    "version": 1
  }
}