Pith Number

pith:D6LCCXVZ

pith:2015:D6LCCXVZHVEYZJZANJG36APKDL

not attested not anchored not stored refs pending

Trace map and regularity of finite extensions of a DVR

Fabio Tonini

arxiv:1506.04264 v2 · 2015-06-13 · math.AC · 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{D6LCCXVZHVEYZJZANJG36APKDL}

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	2026-05-18T00:52:02.315259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f96215eb93d498ca7206a4dbf01ea1af11e7411c325c217814b3def965a9996

Aliases

arxiv: 1506.04264 · arxiv_version: 1506.04264v2 · doi: 10.48550/arxiv.1506.04264 · pith_short_12: D6LCCXVZHVEY · pith_short_16: D6LCCXVZHVEYZJZA · pith_short_8: D6LCCXVZ

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/D6LCCXVZHVEYZJZANJG36APKDL \
  | 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: 1f96215eb93d498ca7206a4dbf01ea1af11e7411c325c217814b3def965a9996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca014052b61519792e9c3a087b7ecdf16ca522c50cdb8592c1c71f4d7fc3ff6d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-13T12:55:03Z",
    "title_canon_sha256": "75cc45c8d10c35933792dbd8a36ed3862836484bfeb8211a0d05cfb409abdb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04264",
    "kind": "arxiv",
    "version": 2
  }
}