Pith Number

pith:2GNBIQZI

pith:2026:2GNBIQZIJ4XVEIEOFMA35RG73O

not attested not anchored not stored refs pending

Tall Complexity One Spaces with k-colorable Skeleton

Yichen Liu

arxiv:2607.00441 v1 · 2026-07-01 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GNBIQZIJ4XVEIEOFMA35RG73O}

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	2026-07-02T01:17:43.468719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19a1443284f2f52208e2b01bec4dfdba9ee5cbd1534305261a17df0aa7d945f

Aliases

arxiv: 2607.00441 · arxiv_version: 2607.00441v1 · doi: 10.48550/arxiv.2607.00441 · pith_short_12: 2GNBIQZIJ4XV · pith_short_16: 2GNBIQZIJ4XVEIEO · pith_short_8: 2GNBIQZI

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/2GNBIQZIJ4XVEIEOFMA35RG73O \
  | 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: d19a1443284f2f52208e2b01bec4dfdba9ee5cbd1534305261a17df0aa7d945f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ead4991d16593db78aa889738f739085abe41045efc50c64a4e5f618d3d94ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-01T04:54:17Z",
    "title_canon_sha256": "08a85a88babe7b24af6037b3bde5b36a59625648ff273a5ef3e3f281e725245c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00441",
    "kind": "arxiv",
    "version": 1
  }
}