Pith Number

pith:VAP7DM6Q

pith:2013:VAP7DM6QYCLWGBLKX2YLBDSQEV

not attested not anchored not stored refs pending

The relative approximation degree in valued function fields

Franz-Viktor Kuhlmann, Izabela Vlahu

arxiv:1304.0200 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{VAP7DM6QYCLWGBLKX2YLBDSQEV}

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	2026-05-18T03:29:25.723576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81ff1b3d0c09763056abeb0b08e502555041a89904f739e8ed60748fe1bb9d3

Aliases

arxiv: 1304.0200 · arxiv_version: 1304.0200v1 · doi: 10.48550/arxiv.1304.0200 · pith_short_12: VAP7DM6QYCLW · pith_short_16: VAP7DM6QYCLWGBLK · pith_short_8: VAP7DM6Q

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/VAP7DM6QYCLWGBLKX2YLBDSQEV \
  | 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: a81ff1b3d0c09763056abeb0b08e502555041a89904f739e8ed60748fe1bb9d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba66cfd64406e9d4c29275f0906f9573f07b0e8dc8e1ec8651ed99aea41aae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-31T12:57:36Z",
    "title_canon_sha256": "a61d6f8541b9d11168937e7adb6616a5a2591a788aec3cdc1a7c5ae2cdfdff9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0200",
    "kind": "arxiv",
    "version": 1
  }
}