Pith Number

pith:JJFUBSKD

pith:2026:JJFUBSKD4YK3AYWTMNWMFQRWY7

not attested not anchored not stored refs pending

On the geometry of Coulomb branches

Ben Webster

arxiv:2607.15177 v1 · 2026-07-16 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJFUBSKD4YK3AYWTMNWMFQRWY7}

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	2026-07-17T01:22:13.013892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4b40c943e615b062d3636cc2c236c7ff644fb9cd2fa18a68a6d2759512a1c7

Aliases

arxiv: 2607.15177 · arxiv_version: 2607.15177v1 · doi: 10.48550/arxiv.2607.15177 · pith_short_12: JJFUBSKD4YK3 · pith_short_16: JJFUBSKD4YK3AYWT · pith_short_8: JJFUBSKD

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/JJFUBSKD4YK3AYWTMNWMFQRWY7 \
  | 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: 4a4b40c943e615b062d3636cc2c236c7ff644fb9cd2fa18a68a6d2759512a1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d4ef81494c9db63283fe8148d951f0759d899d1d5a63ec6479b24b57dfbe54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-16T16:32:37Z",
    "title_canon_sha256": "4ed75effd7821e4933062f14e1e5cb50b0065941991b3585ed416618dc5c8bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15177",
    "kind": "arxiv",
    "version": 1
  }
}