Pith Number

pith:YLFBEIGD

pith:2016:YLFBEIGDZVYBXH5CZMBQTLTCCJ

not attested not anchored not stored refs pending

Definable Valuations Induced by Definable Subgroups

Katharina Dupont

arxiv:1603.09196 v1 · 2016-03-30 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLFBEIGDZVYBXH5CZMBQTLTCCJ}

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	2026-05-18T01:18:01.165926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ca1220c3cd701b9fa2cb0309ae621268a5fc24ed29271525b74c59a83982e9

Aliases

arxiv: 1603.09196 · arxiv_version: 1603.09196v1 · doi: 10.48550/arxiv.1603.09196 · pith_short_12: YLFBEIGDZVYB · pith_short_16: YLFBEIGDZVYBXH5C · pith_short_8: YLFBEIGD

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/YLFBEIGDZVYBXH5CZMBQTLTCCJ \
  | 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: c2ca1220c3cd701b9fa2cb0309ae621268a5fc24ed29271525b74c59a83982e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5449631520fbd9d539653edbae74130618688831f9a2c808099ed07c8a4eac80",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-30T13:55:27Z",
    "title_canon_sha256": "52b0b3cd44462cb5065d5cf8ad12c6d236466eebb148f8b3a33fad931246bfd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09196",
    "kind": "arxiv",
    "version": 1
  }
}