Pith Number

pith:DTIYAYSH

pith:2020:DTIYAYSHQPF2YG3W7WC6HQTYCJ

not attested not anchored not stored refs pending

$PD_3$-pairs with compressible boundary

Jonathan A. Hillman

arxiv:2006.08057 v7 · 2020-06-15 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTIYAYSHQPF2YG3W7WC6HQTYCJ}

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	2026-05-17T23:39:18.643801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd180624783cbac1b76fd85e3c278127af997f124d0351502cfa202f16ed3f4

Aliases

arxiv: 2006.08057 · arxiv_version: 2006.08057v7 · doi: 10.48550/arxiv.2006.08057 · pith_short_12: DTIYAYSHQPF2 · pith_short_16: DTIYAYSHQPF2YG3W · pith_short_8: DTIYAYSH

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/DTIYAYSHQPF2YG3W7WC6HQTYCJ \
  | 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: 1cd180624783cbac1b76fd85e3c278127af997f124d0351502cfa202f16ed3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "436936d9c1249ba703bee8d40501bbf6112712740ae9377d385874281f6439da",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-06-15T00:06:08Z",
    "title_canon_sha256": "005af5a1fed1d6a5964363c46367197693d782f52f542cc24d437d673af279d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08057",
    "kind": "arxiv",
    "version": 7
  }
}