Pith Number

pith:YXAYIGKT

pith:2005:YXAYIGKTSDCXAYNJDD2NTCI6JH

not attested not anchored not stored refs pending

Manifolds with parallel differential forms and Kaehler identities for G_2-manifolds

Misha Verbitsky

arxiv:math/0502540 v8 · 2005-02-25 · math.DG · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXAYIGKTSDCXAYNJDD2NTCI6JH}

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	2026-05-18T04:27:36.592354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c184195390c57061a918f4d9891e49ef28523553fdfb74669929e19e1a5e98

Aliases

arxiv: math/0502540 · arxiv_version: math/0502540v8 · doi: 10.48550/arxiv.math/0502540 · pith_short_12: YXAYIGKTSDCX · pith_short_16: YXAYIGKTSDCXAYNJ · pith_short_8: YXAYIGKT

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/YXAYIGKTSDCXAYNJDD2NTCI6JH \
  | 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: c5c184195390c57061a918f4d9891e49ef28523553fdfb74669929e19e1a5e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13628c1488d7a22e3ba430dcbcc996b2d8fa0bcb3c6ae0487951de08e42817df",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-02-25T15:35:59Z",
    "title_canon_sha256": "dc85564addf8b60b4399e85c5ace8cbab35561c38552c468fd5cf0e8f1baaeec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502540",
    "kind": "arxiv",
    "version": 8
  }
}