Pith Number

pith:D4I3NSXB

pith:2026:D4I3NSXBV2ZOA74FONP7IUMHHQ

not attested not anchored not stored refs pending

Universal geometry as an organising principle for heterotic moduli

Jock McOrist

arxiv:2606.31193 v1 · 2026-06-30 · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4I3NSXBV2ZOA74FONP7IUMHHQ}

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	2026-07-01T01:17:31.820076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f11b6cae1aeb2e07f85735ff451873c1f1a6a6bb10db844bf744fa93ed0a77c

Aliases

arxiv: 2606.31193 · arxiv_version: 2606.31193v1 · doi: 10.48550/arxiv.2606.31193 · pith_short_12: D4I3NSXBV2ZO · pith_short_16: D4I3NSXBV2ZOA74F · pith_short_8: D4I3NSXB

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/D4I3NSXBV2ZOA74FONP7IUMHHQ \
  | 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: 1f11b6cae1aeb2e07f85735ff451873c1f1a6a6bb10db844bf744fa93ed0a77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "142c212bd6bc2b777af4dd64f1007430308ea234e829d502d7005ab8b4037781",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-30T06:22:59Z",
    "title_canon_sha256": "85d69355568c9b5f60b76f7c79e0b88d6558602bb321d85ae8564a1eaf8c8b5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31193",
    "kind": "arxiv",
    "version": 1
  }
}