Pith Number

pith:BX2YCF3E

pith:2025:BX2YCF3EHS3RMU2S577KS66EMJ

not attested not anchored not stored refs pending

A single point as a Calabi-Yau zerofold

Johanna Knapp, Joseph McGovern

arxiv:2506.16726 v1 · 2025-06-20 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BX2YCF3EHS3RMU2S577KS66EMJ}

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	2026-07-05T11:24:41.707662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df58117643cb7165352effea97bc4625a481ac972f45671ed6b2e5f4af9c1f5

Aliases

arxiv: 2506.16726 · arxiv_version: 2506.16726v1 · doi: 10.48550/arxiv.2506.16726 · pith_short_12: BX2YCF3EHS3R · pith_short_16: BX2YCF3EHS3RMU2S · pith_short_8: BX2YCF3E

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/BX2YCF3EHS3RMU2S577KS66EMJ \
  | 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: 0df58117643cb7165352effea97bc4625a481ac972f45671ed6b2e5f4af9c1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c895d05eb00fd8da5aa44a76de2c98fdbcb5f1056446537fa17f96a6d096e17",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-20T03:50:12Z",
    "title_canon_sha256": "94bb953ce74c1cff01e0be754011853f2565b682e33ffb6787ee8e84be8e302f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16726",
    "kind": "arxiv",
    "version": 1
  }
}