Pith Number

pith:B52QECA3

pith:2012:B52QECA3DXGMXVDWSNZGZ3NHFF

not attested not anchored not stored refs pending

Operations between sets in geometry

Daniel Hug, Richard J. Gardner, Wolfgang Weil

arxiv:1205.4327 v2 · 2012-05-19 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B52QECA3DXGMXVDWSNZGZ3NHFF}

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	2026-05-18T03:36:04.545625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7502081b1dcccbd47693726ceda7296b62fb7d3c3f036d83f716c058a7a1be

Aliases

arxiv: 1205.4327 · arxiv_version: 1205.4327v2 · doi: 10.48550/arxiv.1205.4327 · pith_short_12: B52QECA3DXGM · pith_short_16: B52QECA3DXGMXVDW · pith_short_8: B52QECA3

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/B52QECA3DXGMXVDWSNZGZ3NHFF \
  | 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: 0f7502081b1dcccbd47693726ceda7296b62fb7d3c3f036d83f716c058a7a1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2eb1d5d4fa9989197ad544285e2cfc36b2dc3e395f6c9340164d8212dca4c51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-05-19T13:35:37Z",
    "title_canon_sha256": "c58958817491edda5352d4195e3ef445fe2c2774e325a6e6218f26c7a5d83134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4327",
    "kind": "arxiv",
    "version": 2
  }
}