Pith Number

pith:IT6UN45I

pith:2017:IT6UN45IZBCD4XS36PRZXLNBPO

not attested not anchored not stored refs pending

The Linearity of the Mitchell Order

Gabriel Goldberg

arxiv:1706.07141 v2 · 2017-06-21 · 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{IT6UN45IZBCD4XS36PRZXLNBPO}

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	2026-05-18T00:40:57.327327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fd46f3a8c8443e5e5bf3e39bada17ba7ed2c2eeaf667fddbb7dff5727faa89

Aliases

arxiv: 1706.07141 · arxiv_version: 1706.07141v2 · doi: 10.48550/arxiv.1706.07141 · pith_short_12: IT6UN45IZBCD · pith_short_16: IT6UN45IZBCD4XS3 · pith_short_8: IT6UN45I

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/IT6UN45IZBCD4XS36PRZXLNBPO \
  | 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: 44fd46f3a8c8443e5e5bf3e39bada17ba7ed2c2eeaf667fddbb7dff5727faa89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fced5a2a6df2f638edbc74c0a8dc94f18a5b8126e19a69094241c53f3766e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-21T23:52:55Z",
    "title_canon_sha256": "a4609c58b8c0ea8d8ab430086a4f9816c464bf0c3e4810a36e187403e98a9743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07141",
    "kind": "arxiv",
    "version": 2
  }
}