Pith Number

pith:T7MZDUOW

pith:2019:T7MZDUOWRLXK7LQV4W5OL2FL72

not attested not anchored not stored refs pending

Kaestner Brackets

Forest Kobayashi, Sam Nelson

arxiv:1909.09920 v2 · 2019-09-22 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7MZDUOWRLXK7LQV4W5OL2FL72}

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	2026-07-05T01:09:19.465085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd991d1d68aeeafae15e5bae5e8abfe8c54bad0335cbb863bb43179649c9c45

Aliases

arxiv: 1909.09920 · arxiv_version: 1909.09920v2 · doi: 10.48550/arxiv.1909.09920 · pith_short_12: T7MZDUOWRLXK · pith_short_16: T7MZDUOWRLXK7LQV · pith_short_8: T7MZDUOW

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/T7MZDUOWRLXK7LQV4W5OL2FL72 \
  | 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: 9fd991d1d68aeeafae15e5bae5e8abfe8c54bad0335cbb863bb43179649c9c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6b430016a8b27e7bc2bc5bb8154c5b2ae15318d229baa37b7f0fca88d2eb1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-09-22T00:49:16Z",
    "title_canon_sha256": "d13e6978a8445ea05edc7c6590527e000779765dd89c470470405eecf408a606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09920",
    "kind": "arxiv",
    "version": 2
  }
}