Pith Number

pith:HSZAP3RR

pith:2015:HSZAP3RRJBHF6K4B5WF2CXE2DM

not attested not anchored not stored refs pending

Arithmetic analogues of some basic concepts from Riemannian geometry

Alexandru Buium

arxiv:1503.02489 v1 · 2015-03-09 · 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{HSZAP3RRJBHF6K4B5WF2CXE2DM}

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	2026-05-18T02:25:19.510364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb207ee31484e5f2b81ed8ba15c9a1b09d3027c937058dc7cf10de5e35cad3f

Aliases

arxiv: 1503.02489 · arxiv_version: 1503.02489v1 · doi: 10.48550/arxiv.1503.02489 · pith_short_12: HSZAP3RRJBHF · pith_short_16: HSZAP3RRJBHF6K4B · pith_short_8: HSZAP3RR

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/HSZAP3RRJBHF6K4B5WF2CXE2DM \
  | 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: 3cb207ee31484e5f2b81ed8ba15c9a1b09d3027c937058dc7cf10de5e35cad3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd56eeda3a7d5d542560cf69a29a0a72d81d043c4f992132469feef4e139c69f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-09T14:41:20Z",
    "title_canon_sha256": "38db89e2ccc8fc6ee9845344e3c854eda3cacfb8f3885f25a32f77a29b565db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02489",
    "kind": "arxiv",
    "version": 1
  }
}