Pith Number

pith:HEVRPRUN

pith:2015:HEVRPRUNYQKTCCZCKYMEQO6ZF2

not attested not anchored not stored refs pending

Potentially crystalline deformation rings in the ordinary case

Brandon Levin, Stefano Morra

arxiv:1506.00719 v2 · 2015-06-02 · 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{HEVRPRUNYQKTCCZCKYMEQO6ZF2}

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	2026-05-18T01:18:52.653218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392b17c68dc415310b225618483bd92e9556ac9a33c155d353e8a8b91e6d7069

Aliases

arxiv: 1506.00719 · arxiv_version: 1506.00719v2 · doi: 10.48550/arxiv.1506.00719 · pith_short_12: HEVRPRUNYQKT · pith_short_16: HEVRPRUNYQKTCCZC · pith_short_8: HEVRPRUN

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/HEVRPRUNYQKTCCZCKYMEQO6ZF2 \
  | 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: 392b17c68dc415310b225618483bd92e9556ac9a33c155d353e8a8b91e6d7069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c90f430f0e734dd27f5775e69da935f89774f86eca9afabc03710af659d5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-02T01:28:22Z",
    "title_canon_sha256": "12208dc484524f7f79edd6e1623b249a74f5c1258ab741904878395beb2b0e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00719",
    "kind": "arxiv",
    "version": 2
  }
}