Pith Number

pith:HXDGRIBK

pith:2015:HXDGRIBKP6AE4KHTYFEDXGH6QY

not attested not anchored not stored refs pending

On 2-adic deformations

Vytautas Paskunas

arxiv:1509.00320 v2 · 2015-09-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXDGRIBKP6AE4KHTYFEDXGH6QY}

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	2026-05-18T01:03:51.165182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc668a02a7f804e28f3c1483b98fe861a930d813e926490a89b395a96a9aaf2

Aliases

arxiv: 1509.00320 · arxiv_version: 1509.00320v2 · doi: 10.48550/arxiv.1509.00320 · pith_short_12: HXDGRIBKP6AE · pith_short_16: HXDGRIBKP6AE4KHT · pith_short_8: HXDGRIBK

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/HXDGRIBKP6AE4KHTYFEDXGH6QY \
  | 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: 3dc668a02a7f804e28f3c1483b98fe861a930d813e926490a89b395a96a9aaf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4afdf1fa4100f0859e061bb0e0e97898406c6b4f8cffc4fa307675215c5e2a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-01T14:40:26Z",
    "title_canon_sha256": "80779ea16ae4b34972bd5031c4c70158ae8e907af32e6f6ee36f23c91f180371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00320",
    "kind": "arxiv",
    "version": 2
  }
}