Pith Number

pith:BZW3H2Q6

pith:2016:BZW3H2Q6I77SJPTCDBS3ML5AE2

not attested not anchored not stored refs pending

A sharp exceptional set estimate for visibility

Tuomas Orponen

arxiv:1602.07629 v1 · 2016-02-24 · math.CA · 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{BZW3H2Q6I77SJPTCDBS3ML5AE2}

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	2026-05-18T00:30:49.149783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e6db3ea1e47ff24be621865b62fa026bed46a37746673348e5a1e3c76ac2b73

Aliases

arxiv: 1602.07629 · arxiv_version: 1602.07629v1 · doi: 10.48550/arxiv.1602.07629 · pith_short_12: BZW3H2Q6I77S · pith_short_16: BZW3H2Q6I77SJPTC · pith_short_8: BZW3H2Q6

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/BZW3H2Q6I77SJPTCDBS3ML5AE2 \
  | 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: 0e6db3ea1e47ff24be621865b62fa026bed46a37746673348e5a1e3c76ac2b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b6c084daae3c97fb27cf62c0a001d7828efea06f35757c7852506d1e66fca6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-24T18:22:27Z",
    "title_canon_sha256": "3a9c605dfcea0e7af0cca73fb27f99214e157924dea4ac712236cf98724ae07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07629",
    "kind": "arxiv",
    "version": 1
  }
}