Pith Number

pith:XTZIL4BT

pith:2017:XTZIL4BTMUB67HIDR7Q2HMQSMS

not attested not anchored not stored refs pending

More on the density zero ideal

Dilip Raghavan

arxiv:1712.03308 v1 · 2017-12-08 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTZIL4BTMUB67HIDR7Q2HMQSMS}

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	2026-05-18T00:28:21.716750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf285f0336503ef9d038fe1a3b2126493220511e1458562821385fc75ece627

Aliases

arxiv: 1712.03308 · arxiv_version: 1712.03308v1 · doi: 10.48550/arxiv.1712.03308 · pith_short_12: XTZIL4BTMUB6 · pith_short_16: XTZIL4BTMUB67HID · pith_short_8: XTZIL4BT

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/XTZIL4BTMUB67HIDR7Q2HMQSMS \
  | 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: bcf285f0336503ef9d038fe1a3b2126493220511e1458562821385fc75ece627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eddd749d038bdcea78e27c298f11181e6f321db6233fb7fcb16502b3a4301fe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-12-08T23:04:42Z",
    "title_canon_sha256": "03ccbbda3935207c2e148cd8c14919468ef3971d46796ad1be77debe2f4c3529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03308",
    "kind": "arxiv",
    "version": 1
  }
}