Pith Number

pith:UQH24PIW

pith:2018:UQH24PIWWXD4OFOPEJAUN7HKXC

not attested not anchored not stored refs pending

Exponential gaps in the length spectrum

Emmanuel Schenck

arxiv:1806.06764 v1 · 2018-06-18 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQH24PIWWXD4OFOPEJAUN7HKXC}

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	2026-05-18T00:12:59.193803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40fae3d16b5c7c715cf224146fceab8b8ef2d96e229b42161d3a2eecf27c002

Aliases

arxiv: 1806.06764 · arxiv_version: 1806.06764v1 · doi: 10.48550/arxiv.1806.06764 · pith_short_12: UQH24PIWWXD4 · pith_short_16: UQH24PIWWXD4OFOP · pith_short_8: UQH24PIW

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/UQH24PIWWXD4OFOPEJAUN7HKXC \
  | 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: a40fae3d16b5c7c715cf224146fceab8b8ef2d96e229b42161d3a2eecf27c002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef70d170c48848e4ecbae581b7c0fd73c9be3b7c67bb30e8d36b22b3aa988a1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-18T15:18:05Z",
    "title_canon_sha256": "3f88fbaba7dd1442d5b7820ad63a72b3be93106b947552aa8f3a866be1107b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06764",
    "kind": "arxiv",
    "version": 1
  }
}