Pith Number

pith:AESW5YSL

pith:2015:AESW5YSLYFACMGY3DXU3QA7JAW

not attested not anchored not stored refs pending

Lattice deformations in the Heisenberg group

Ioannis Konstantoulas, Jayadev S. Athreya

arxiv:1510.01433 v2 · 2015-10-06 · 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{AESW5YSLYFACMGY3DXU3QA7JAW}

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	2026-05-18T01:17:00.192844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01256ee24bc140261b1b1de9b803e905959f4b1035a73d86b3263588df1f9467

Aliases

arxiv: 1510.01433 · arxiv_version: 1510.01433v2 · doi: 10.48550/arxiv.1510.01433 · pith_short_12: AESW5YSLYFAC · pith_short_16: AESW5YSLYFACMGY3 · pith_short_8: AESW5YSL

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/AESW5YSLYFACMGY3DXU3QA7JAW \
  | 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: 01256ee24bc140261b1b1de9b803e905959f4b1035a73d86b3263588df1f9467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e548d31137b7bd31f2d2269cf9cdc0a7270a9b467c6f9c80975b9ab1d8742bbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-06T05:09:37Z",
    "title_canon_sha256": "91e8dc4549e64e077324070008699c62d279def240a0f2730e1fda6799e35f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01433",
    "kind": "arxiv",
    "version": 2
  }
}