Pith Number

pith:BVE3BC6K

pith:2026:BVE3BC6KABU63XJZYXLLUBSAMU

not attested not anchored not stored refs pending

Nerve-type and invariance theorems for asymptotic dimension

Chun-Hung Liu, Sergey Norin

arxiv:2607.24146 v1 · 2026-07-27 · math.CO · cs.DM · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVE3BC6KABU63XJZYXLLUBSAMU}

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	2026-07-28T01:23:47.117640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d49b08bca0069eddd39c5d6ba06406516d4bef344e05d993ca009ef6630e62f

Aliases

arxiv: 2607.24146 · arxiv_version: 2607.24146v1 · doi: 10.48550/arxiv.2607.24146 · pith_short_12: BVE3BC6KABU6 · pith_short_16: BVE3BC6KABU63XJZ · pith_short_8: BVE3BC6K

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/BVE3BC6KABU63XJZYXLLUBSAMU \
  | 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: 0d49b08bca0069eddd39c5d6ba06406516d4bef344e05d993ca009ef6630e62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3e40e0c4404264e9a4660c0ea50f5f81941dcc199001bb490b2b914c614ccd",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-27T08:25:20Z",
    "title_canon_sha256": "df0f2b5ebdf8d4c63c97ed7cc97749a156e222f4d5672e1070cdd7a2f4e64656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24146",
    "kind": "arxiv",
    "version": 1
  }
}