Pith Number

pith:2V5GWG75

pith:2026:2V5GWG75GS7EWFKO25NMPHTMWH

not attested not anchored not stored refs pending

Square root crystals and the square root of $B(\infty)$

Eric Marberg, Travis Scrimshaw

arxiv:2608.11009 v1 · 2026-08-11 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V5GWG75GS7EWFKO25NMPHTMWH}

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	2026-08-12T01:24:00.460353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57a6b1bfd34be4b154ed75ac79e6cb1f311ebb87ac16bf00737bdf574875c82

Aliases

arxiv: 2608.11009 · arxiv_version: 2608.11009v1 · doi: 10.48550/arxiv.2608.11009 · pith_short_12: 2V5GWG75GS7E · pith_short_16: 2V5GWG75GS7EWFKO · pith_short_8: 2V5GWG75

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/2V5GWG75GS7EWFKO25NMPHTMWH \
  | 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: d57a6b1bfd34be4b154ed75ac79e6cb1f311ebb87ac16bf00737bdf574875c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6449f866c212a53e293a99e64c1ad86a0a991d5c31b2e3df7730be3200336cf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-08-11T14:56:31Z",
    "title_canon_sha256": "38d357464d265906abdf57b1aa2c5aceaa30a19a07b38f9b1d402eaf10f056d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11009",
    "kind": "arxiv",
    "version": 1
  }
}