Pith Number

pith:7D4TASJX

pith:2026:7D4TASJXXNSNZB3W4KXZBJKCZ2

not attested not anchored not stored refs pending

Square Metric Spaces

Charles Fanning, Mehmet Aktas

arxiv:2606.08821 v1 · 2026-06-07 · math.AT · 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{7D4TASJXXNSNZB3W4KXZBJKCZ2}

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	2026-06-09T02:07:41.243144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f9304937bb64dc8776e2af90a542cea761bee5de06963a81e3a8ea1e5f7784

Aliases

arxiv: 2606.08821 · arxiv_version: 2606.08821v1 · doi: 10.48550/arxiv.2606.08821 · pith_short_12: 7D4TASJXXNSN · pith_short_16: 7D4TASJXXNSNZB3W · pith_short_8: 7D4TASJX

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/7D4TASJXXNSNZB3W4KXZBJKCZ2 \
  | 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: f8f9304937bb64dc8776e2af90a542cea761bee5de06963a81e3a8ea1e5f7784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b465b3100df14eef401d14687172e29fac69cec9c79389075485e11a567fe6f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-07T20:18:50Z",
    "title_canon_sha256": "caf35b80736a9ea1c64e4c09d36e43b104157bd12bd81c79f41f2b69beb054a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08821",
    "kind": "arxiv",
    "version": 1
  }
}