Pith Number

pith:3HGM6CMW

pith:2017:3HGM6CMWY4RSHAWCDW5EIPIR3F

not attested not anchored not stored refs pending

On density of infinite subsets I

Changguang Dong

arxiv:1709.05591 v1 · 2017-09-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HGM6CMWY4RSHAWCDW5EIPIR3F}

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	2026-05-18T00:35:00.205503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9cccf0996c7232382c21dba443d11d974db3e2dd78961373454eb854694eb6d

Aliases

arxiv: 1709.05591 · arxiv_version: 1709.05591v1 · doi: 10.48550/arxiv.1709.05591 · pith_short_12: 3HGM6CMWY4RS · pith_short_16: 3HGM6CMWY4RSHAWC · pith_short_8: 3HGM6CMW

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/3HGM6CMWY4RSHAWCDW5EIPIR3F \
  | 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: d9cccf0996c7232382c21dba443d11d974db3e2dd78961373454eb854694eb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f5de97670988e2a0904134678d3cd7826776ef671de6fed2305f27f752847b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-17T01:33:12Z",
    "title_canon_sha256": "bd6bbca4122259d752a42e7bfb7d3e9a9db31dc24e52c0a95b94b1960d2de024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05591",
    "kind": "arxiv",
    "version": 1
  }
}