Pith Number

pith:XGBP6XSM

pith:2013:XGBP6XSM7I4F7TEQ5OPSRIS2KB

not attested not anchored not stored refs pending

A singular radial connection over B^5 minimizing the Yang-Mills energy

Mircea Petrache

arxiv:1306.6763 v1 · 2013-06-28 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGBP6XSM7I4F7TEQ5OPSRIS2KB}

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	2026-05-18T03:19:43.098559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b982ff5e4cfa385fcc90eb9f28a25a50589785d5150c197c563f3b7ee474294a

Aliases

arxiv: 1306.6763 · arxiv_version: 1306.6763v1 · doi: 10.48550/arxiv.1306.6763 · pith_short_12: XGBP6XSM7I4F · pith_short_16: XGBP6XSM7I4F7TEQ · pith_short_8: XGBP6XSM

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/XGBP6XSM7I4F7TEQ5OPSRIS2KB \
  | 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: b982ff5e4cfa385fcc90eb9f28a25a50589785d5150c197c563f3b7ee474294a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c8674be4e8b63aec467efec95f48a07069a14a14bf57ab2612eac6562a7477",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-28T09:31:40Z",
    "title_canon_sha256": "d604bcb6a87d64f84f2a9d922ada76cea21000014f22ef99896439ee6dd97de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6763",
    "kind": "arxiv",
    "version": 1
  }
}