Pith Number

pith:YLRHR7WY

pith:2009:YLRHR7WYUTMWW7MXWHCKAWOPLX

not attested not anchored not stored refs pending

The canonical 8-form on manifolds with holonomy group Spin(9)

I. Mykytyuk, M. Castrillon Lopez, P. M. Gadea

arxiv:0911.1079 v1 · 2009-11-05 · math.DG · 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{YLRHR7WYUTMWW7MXWHCKAWOPLX}

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	2026-05-18T02:10:59.183881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e278fed8a4d96b7d97b1c4a059cf5de6f6b2ef9bcdba43cd7138b1043de19e

Aliases

arxiv: 0911.1079 · arxiv_version: 0911.1079v1 · doi: 10.48550/arxiv.0911.1079 · pith_short_12: YLRHR7WYUTMW · pith_short_16: YLRHR7WYUTMWW7MX · pith_short_8: YLRHR7WY

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/YLRHR7WYUTMWW7MXWHCKAWOPLX \
  | 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: c2e278fed8a4d96b7d97b1c4a059cf5de6f6b2ef9bcdba43cd7138b1043de19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21eca585ed527ed9a2ee138c0c378d33798f14a05c5939d653201da8f2edd78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-05T17:22:37Z",
    "title_canon_sha256": "8ba558f4b49a4b5e0bcfe99e6f2d83c6f991884c0b131ff8c5d41d6fae709e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1079",
    "kind": "arxiv",
    "version": 1
  }
}